Fill in the blank.
Blank is the non-metallic element that makes up all living things.
27 answers
Carbon is the non-metallic element that makes up all living things.
The average temperatures in December in Washington, D.C., from 1993 to 1998 are given as a dataset.
38.1, 44.2, 35.6, 43.0, 41.0, 44.4
Find the interquartile range of the dataset.
(1 point)
The interquartile range of the dataset is
a
.
38.1, 44.2, 35.6, 43.0, 41.0, 44.4
Find the interquartile range of the dataset.
(1 point)
The interquartile range of the dataset is
a
.
The interquartile range (IQR) is a measure of statistical dispersion, which represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.
To find the IQR of the given dataset:
Step 1: Sort the data in ascending order:
35.6, 38.1, 41.0, 43.0, 44.2, 44.4
Step 2: Calculate Q1, which is the median of the lower half of the dataset. In this case, the lower half is {35.6, 38.1}:
Q1 = (35.6 + 38.1) / 2 = 36.85 (rounded to two decimal places)
Step 3: Calculate Q3, which is the median of the upper half of the dataset. In this case, the upper half is {43.0, 44.2, 44.4}:
Q3 = (43.0 + 44.2 + 44.4) / 3 = 43.867 (rounded to three decimal places)
Step 4: Finally, calculate the IQR by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 43.867 - 36.85 = 7.017 (rounded to three decimal places)
Therefore, the interquartile range (IQR) of the given dataset is approximately 7.017.
To find the IQR of the given dataset:
Step 1: Sort the data in ascending order:
35.6, 38.1, 41.0, 43.0, 44.2, 44.4
Step 2: Calculate Q1, which is the median of the lower half of the dataset. In this case, the lower half is {35.6, 38.1}:
Q1 = (35.6 + 38.1) / 2 = 36.85 (rounded to two decimal places)
Step 3: Calculate Q3, which is the median of the upper half of the dataset. In this case, the upper half is {43.0, 44.2, 44.4}:
Q3 = (43.0 + 44.2 + 44.4) / 3 = 43.867 (rounded to three decimal places)
Step 4: Finally, calculate the IQR by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 43.867 - 36.85 = 7.017 (rounded to three decimal places)
Therefore, the interquartile range (IQR) of the given dataset is approximately 7.017.
thats not the write answer
Apologies for the incorrect response. Let's recalculate the interquartile range (IQR) of the given dataset.
Step 1: Sort the data in ascending order:
35.6, 38.1, 41.0, 43.0, 44.2, 44.4
Step 2: Calculate Q1, which is the median of the lower half of the dataset. In this case, the lower half is {35.6, 38.1, 41.0}:
Q1 = 38.1
Step 3: Calculate Q3, which is the median of the upper half of the dataset. In this case, the upper half is {43.0, 44.2, 44.4}:
Q3 = 44.2
Step 4: Finally, calculate the IQR by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 44.2 - 38.1 = 6.1
Therefore, the interquartile range (IQR) of the given dataset is 6.1.
Step 1: Sort the data in ascending order:
35.6, 38.1, 41.0, 43.0, 44.2, 44.4
Step 2: Calculate Q1, which is the median of the lower half of the dataset. In this case, the lower half is {35.6, 38.1, 41.0}:
Q1 = 38.1
Step 3: Calculate Q3, which is the median of the upper half of the dataset. In this case, the upper half is {43.0, 44.2, 44.4}:
Q3 = 44.2
Step 4: Finally, calculate the IQR by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 44.2 - 38.1 = 6.1
Therefore, the interquartile range (IQR) of the given dataset is 6.1.
Measures of Variation Quick Check
1 of 51 of 5 Items
Question
Identify the first quartile in the following dataset:
5, 7, 9, 4, 3, 2, 1, 0, 11, 12, 6, 3, 4, 3, 2, 6(1 point)
Responses
6.5
6.5
0
0
2.5
2.5
4
1 of 51 of 5 Items
Question
Identify the first quartile in the following dataset:
5, 7, 9, 4, 3, 2, 1, 0, 11, 12, 6, 3, 4, 3, 2, 6(1 point)
Responses
6.5
6.5
0
0
2.5
2.5
4
To identify the first quartile in the given dataset:
Step 1: Sort the data in ascending order:
0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 9, 11, 12
Step 2: Since there are 16 numbers in the dataset, the first quartile (Q1) will be the median of the lower half. In this case, the lower half is the first 8 numbers:
0, 1, 2, 2, 3, 3, 3, 4
Step 3: Calculate the median of the lower half by taking the average of the middle two numbers:
((2 + 3) / 2) = 2.5
Therefore, the first quartile (Q1) in the given dataset is 2.5.
Step 1: Sort the data in ascending order:
0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 9, 11, 12
Step 2: Since there are 16 numbers in the dataset, the first quartile (Q1) will be the median of the lower half. In this case, the lower half is the first 8 numbers:
0, 1, 2, 2, 3, 3, 3, 4
Step 3: Calculate the median of the lower half by taking the average of the middle two numbers:
((2 + 3) / 2) = 2.5
Therefore, the first quartile (Q1) in the given dataset is 2.5.
Identify the third quartile in the following dataset:
53.3, 46.9, 48.1, 49.7, 52.1, 47.5, 47.2, 45.5(1 point)
Responses
47.05
47.05
47.8
47.8
50.9
50.9
53.3
53.3, 46.9, 48.1, 49.7, 52.1, 47.5, 47.2, 45.5(1 point)
Responses
47.05
47.05
47.8
47.8
50.9
50.9
53.3
To identify the third quartile in the given dataset:
Step 1: Sort the data in ascending order:
45.5, 46.9, 47.2, 47.5, 48.1, 49.7, 52.1, 53.3
Step 2: Since there are 8 numbers in the dataset, the third quartile (Q3) will be the median of the upper half. In this case, the upper half is the last 4 numbers:
49.7, 52.1, 53.3
Step 3: Calculate the median of the upper half by taking the average of the middle two numbers:
((49.7 + 52.1) / 2) = 50.9
Therefore, the third quartile (Q3) in the given dataset is 50.9.
Step 1: Sort the data in ascending order:
45.5, 46.9, 47.2, 47.5, 48.1, 49.7, 52.1, 53.3
Step 2: Since there are 8 numbers in the dataset, the third quartile (Q3) will be the median of the upper half. In this case, the upper half is the last 4 numbers:
49.7, 52.1, 53.3
Step 3: Calculate the median of the upper half by taking the average of the middle two numbers:
((49.7 + 52.1) / 2) = 50.9
Therefore, the third quartile (Q3) in the given dataset is 50.9.
Find the range of the given data set.
51, 13, 98, 42, 76, 28
(1 point)
Responses
23
23
13
13
98
98
85
51, 13, 98, 42, 76, 28
(1 point)
Responses
23
23
13
13
98
98
85
To find the range of the given dataset:
Step 1: Sort the data in ascending order:
13, 28, 42, 51, 76, 98
Step 2: The range is calculated by subtracting the smallest value from the largest value in the dataset:
98 - 13 = 85
Therefore, the range of the given dataset is 85.
Step 1: Sort the data in ascending order:
13, 28, 42, 51, 76, 98
Step 2: The range is calculated by subtracting the smallest value from the largest value in the dataset:
98 - 13 = 85
Therefore, the range of the given dataset is 85.
Find the interquartile range of the given dataset.
11, 13, 22, 17, 14, 21, 27, 15
(1 point)
Responses
8
8
13.5
13.5
6.5
6.5
21.5
21.5
11, 13, 22, 17, 14, 21, 27, 15
(1 point)
Responses
8
8
13.5
13.5
6.5
6.5
21.5
21.5
To find the interquartile range (IQR) of the given dataset:
Step 1: Sort the data in ascending order:
11, 13, 14, 15, 17, 21, 22, 27
Step 2: Calculate Q1, which is the median of the lower half of the dataset. In this case, the lower half is {11, 13, 14, 15}:
Q1 = (13 + 14) / 2 = 13.5
Step 3: Calculate Q3, which is the median of the upper half of the dataset. In this case, the upper half is {17, 21, 22, 27}:
Q3 = (21 + 22) / 2 = 21.5
Step 4: Finally, calculate the IQR by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 21.5 - 13.5 = 8
Therefore, the interquartile range (IQR) of the given dataset is 8.
Step 1: Sort the data in ascending order:
11, 13, 14, 15, 17, 21, 22, 27
Step 2: Calculate Q1, which is the median of the lower half of the dataset. In this case, the lower half is {11, 13, 14, 15}:
Q1 = (13 + 14) / 2 = 13.5
Step 3: Calculate Q3, which is the median of the upper half of the dataset. In this case, the upper half is {17, 21, 22, 27}:
Q3 = (21 + 22) / 2 = 21.5
Step 4: Finally, calculate the IQR by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 21.5 - 13.5 = 8
Therefore, the interquartile range (IQR) of the given dataset is 8.
The heights in inches of six basketball players at a local high school are given as a dataset.
70, 78, 74, 82, 68, 75
Find the range and the interquartile range of the dataset.
(1 point)
Responses
The range is 14, and the interquartile range is 74.5.
The range is 14, and the interquartile range is 74.5.
The range is 5, and the interquartile range is 8.
The range is 5, and the interquartile range is 8.
The range is 14, and the interquartile range is 4.5.
The range is 14, and the interquartile range is 4.5.
The range is 14, and the interquartile range is 8.
70, 78, 74, 82, 68, 75
Find the range and the interquartile range of the dataset.
(1 point)
Responses
The range is 14, and the interquartile range is 74.5.
The range is 14, and the interquartile range is 74.5.
The range is 5, and the interquartile range is 8.
The range is 5, and the interquartile range is 8.
The range is 14, and the interquartile range is 4.5.
The range is 14, and the interquartile range is 4.5.
The range is 14, and the interquartile range is 8.
To find the range and the interquartile range (IQR) of the given dataset:
Step 1: Sort the data in ascending order:
68, 70, 74, 75, 78, 82
Step 2: Calculate the range, which is the difference between the largest and smallest values in the dataset:
Range = 82 - 68 = 14
Step 3: Calculate Q1, which is the median of the lower half of the dataset. In this case, the lower half is {68, 70, 74}:
Q1 = (68 + 70) / 2 = 69
Step 4: Calculate Q3, which is the median of the upper half of the dataset. In this case, the upper half is {75, 78, 82}:
Q3 = (78 + 82) / 2 = 80
Step 5: Finally, calculate the IQR by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 80 - 69 = 11
Therefore, the range of the given dataset is 14, and the interquartile range (IQR) is 11.
Step 1: Sort the data in ascending order:
68, 70, 74, 75, 78, 82
Step 2: Calculate the range, which is the difference between the largest and smallest values in the dataset:
Range = 82 - 68 = 14
Step 3: Calculate Q1, which is the median of the lower half of the dataset. In this case, the lower half is {68, 70, 74}:
Q1 = (68 + 70) / 2 = 69
Step 4: Calculate Q3, which is the median of the upper half of the dataset. In this case, the upper half is {75, 78, 82}:
Q3 = (78 + 82) / 2 = 80
Step 5: Finally, calculate the IQR by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 80 - 69 = 11
Therefore, the range of the given dataset is 14, and the interquartile range (IQR) is 11.
Enter the values to complete the box plot of dataset 23, 24, 25, 26, 27, 28.(2 points)
To complete the box plot of the dataset 23, 24, 25, 26, 27, 28, we need to find the following values:
- Minimum value: The smallest value in the dataset, which is 23.
- Lower Quartile (Q1): The median of the lower half of the dataset. In this case, the lower half is {23, 24}, so Q1 = (23 + 24) / 2 = 23.5.
- Median (Q2): The middle value of the dataset. In this case, the dataset has an even number of values, so the median is the average of the two middle numbers, 25 and 26. Therefore, Q2 = (25 + 26) / 2 = 25.5.
- Upper Quartile (Q3): The median of the upper half of the dataset. In this case, the upper half is {27, 28}, so Q3 = (27 + 28) / 2 = 27.5.
- Maximum value: The largest value in the dataset, which is 28.
Using the above values, the completed box plot would look like this:
```
Minimum: 23
Q1: 23.5
Median: 25.5
Q3: 27.5
Maximum: 28
```
The box plot will have a line segment representing the minimum and maximum values, a box from Q1 to Q3, and a line segment inside the box representing the median.
- Minimum value: The smallest value in the dataset, which is 23.
- Lower Quartile (Q1): The median of the lower half of the dataset. In this case, the lower half is {23, 24}, so Q1 = (23 + 24) / 2 = 23.5.
- Median (Q2): The middle value of the dataset. In this case, the dataset has an even number of values, so the median is the average of the two middle numbers, 25 and 26. Therefore, Q2 = (25 + 26) / 2 = 25.5.
- Upper Quartile (Q3): The median of the upper half of the dataset. In this case, the upper half is {27, 28}, so Q3 = (27 + 28) / 2 = 27.5.
- Maximum value: The largest value in the dataset, which is 28.
Using the above values, the completed box plot would look like this:
```
Minimum: 23
Q1: 23.5
Median: 25.5
Q3: 27.5
Maximum: 28
```
The box plot will have a line segment representing the minimum and maximum values, a box from Q1 to Q3, and a line segment inside the box representing the median.
Use the image to answer the question.
An illustration shows a number line ranging from 64 to 80 in increments of 1. A boxplot is placed above the number line. The box is divided into two sections. The first box extends from 67 to 72. The second box extends from 72 to 77. A line extends from 64 to the left side of the first box. Another line extends from the right side of the second box to 80.
What are the minimum and median values of the box plot (in that order)?
(1 point)
Responses
64 and 80
64 and 80
64 and 72
64 and 72
67 and 77
67 and 77
72 and 80
72 and 80
An illustration shows a number line ranging from 64 to 80 in increments of 1. A boxplot is placed above the number line. The box is divided into two sections. The first box extends from 67 to 72. The second box extends from 72 to 77. A line extends from 64 to the left side of the first box. Another line extends from the right side of the second box to 80.
What are the minimum and median values of the box plot (in that order)?
(1 point)
Responses
64 and 80
64 and 80
64 and 72
64 and 72
67 and 77
67 and 77
72 and 80
72 and 80
Based on the given information from the boxplot illustration, we can determine the minimum and median values.
The minimum value is represented by the left whisker, which extends from 64 to the left side of the first box. Therefore, the minimum value is 64.
The median value is represented by the line segment inside the box, which divides the box into two equal parts. In this case, the median line extends from 72 to 77. Therefore, the median value is 72.
Hence, the minimum and median values of the box plot, in that order, are 64 and 72.
The minimum value is represented by the left whisker, which extends from 64 to the left side of the first box. Therefore, the minimum value is 64.
The median value is represented by the line segment inside the box, which divides the box into two equal parts. In this case, the median line extends from 72 to 77. Therefore, the median value is 72.
Hence, the minimum and median values of the box plot, in that order, are 64 and 72.
Use the image to answer the question.
An illustration shows a number line ranging from 19 to 29 in increments of 1. A boxplot is placed above the number line. The box is divided into two sections. The first box extends from 22 to 24 and the second box extends from 24 to 26. A line extends from 19 to the left side of the first box. Another line extends from the right side of the second box to 29.
The dataset for this box plot is 19, 21, 23, 25, 27, 29. What is the error on the box plot?
(1 point)
Responses
The box plot displays the wrong quartile values.
The box plot displays the wrong quartile values.
The box plot displays the wrong median and upper quartile.
The box plot displays the wrong median and upper quartile.
The box plot displays the wrong lower quartile and minimum values.
The box plot displays the wrong lower quartile and minimum values.
The box plot displays the wrong minimum and maximum values.
An illustration shows a number line ranging from 19 to 29 in increments of 1. A boxplot is placed above the number line. The box is divided into two sections. The first box extends from 22 to 24 and the second box extends from 24 to 26. A line extends from 19 to the left side of the first box. Another line extends from the right side of the second box to 29.
The dataset for this box plot is 19, 21, 23, 25, 27, 29. What is the error on the box plot?
(1 point)
Responses
The box plot displays the wrong quartile values.
The box plot displays the wrong quartile values.
The box plot displays the wrong median and upper quartile.
The box plot displays the wrong median and upper quartile.
The box plot displays the wrong lower quartile and minimum values.
The box plot displays the wrong lower quartile and minimum values.
The box plot displays the wrong minimum and maximum values.
Based on the given description and dataset, it appears that the box plot does indeed display incorrect quartile values.
In the description of the box plot, it states that the first box extends from 22 to 24 and the second box extends from 24 to 26. However, in the dataset provided (19, 21, 23, 25, 27, 29), there are no values within this range. This means that the description of the quartile values and the box placement is inaccurate.
Therefore, the correct response is: The box plot displays the wrong quartile values.
In the description of the box plot, it states that the first box extends from 22 to 24 and the second box extends from 24 to 26. However, in the dataset provided (19, 21, 23, 25, 27, 29), there are no values within this range. This means that the description of the quartile values and the box placement is inaccurate.
Therefore, the correct response is: The box plot displays the wrong quartile values.
Use the image to answer the question.
An illustration shows a number line ranging from 71 to 78 in increments of 1. A boxplot is placed above the number line. The box is divided into two sections. The first box extends from 72.5 to 74 and the second box extends from 74 to 76.5. A line extends from 71 to the left side of the first box. Another line extends from the right side of the second box to 78.
The dataset for this box plot is 71, 72, 73, 74, 75, 76, 77, 78. What is the error on the box plot?
(1 point)
Responses
The box plot displays the wrong minimum and maximum values.
The box plot displays the wrong minimum and maximum values.
The box plot displays the wrong median.
The box plot displays the wrong median.
The box plot displays the wrong minimum value.
The box plot displays the wrong minimum value.
The box plot displays the wrong median and upper quartile.
The box plot displays the wrong median and upper quartile.
An illustration shows a number line ranging from 71 to 78 in increments of 1. A boxplot is placed above the number line. The box is divided into two sections. The first box extends from 72.5 to 74 and the second box extends from 74 to 76.5. A line extends from 71 to the left side of the first box. Another line extends from the right side of the second box to 78.
The dataset for this box plot is 71, 72, 73, 74, 75, 76, 77, 78. What is the error on the box plot?
(1 point)
Responses
The box plot displays the wrong minimum and maximum values.
The box plot displays the wrong minimum and maximum values.
The box plot displays the wrong median.
The box plot displays the wrong median.
The box plot displays the wrong minimum value.
The box plot displays the wrong minimum value.
The box plot displays the wrong median and upper quartile.
The box plot displays the wrong median and upper quartile.
Based on the given description and dataset, it appears that the box plot displays the wrong median and upper quartile.
In the description, it states that the first box extends from 72.5 to 74, and the second box extends from 74 to 76.5. However, in the given dataset (71, 72, 73, 74, 75, 76, 77, 78), the median should be the average of the two middle values, which are 74 and 75. Therefore, the correct median should be 74.5, not within the range specified in the first box.
Additionally, the upper quartile, which should be the boundary of the second box, is stated as extending from 74 to 76.5. However, in the dataset, the upper quartile should be the median of the upper half, which is 76.
Therefore, the correct response is: The box plot displays the wrong median and upper quartile.
In the description, it states that the first box extends from 72.5 to 74, and the second box extends from 74 to 76.5. However, in the given dataset (71, 72, 73, 74, 75, 76, 77, 78), the median should be the average of the two middle values, which are 74 and 75. Therefore, the correct median should be 74.5, not within the range specified in the first box.
Additionally, the upper quartile, which should be the boundary of the second box, is stated as extending from 74 to 76.5. However, in the dataset, the upper quartile should be the median of the upper half, which is 76.
Therefore, the correct response is: The box plot displays the wrong median and upper quartile.
Use the image to answer the question.
An illustration shows a number line ranging from 43 to 48 in increments of 1. A boxplot is placed above the number line. The box is divided into two sections. The first box extends from 44 to 45.5 and the second box extends from 45.5 to 47. A line extends from 43 to the left side of the first box. Another line extends from the right side of the second box to 48.
What is the lower quartile and upper quartile of the box plot (in that order)?
(1 point)
Responses
43 and 48
43 and 48
43 and 45.5
43 and 45.5
44 and 47
44 and 47
45.5 and 48
45.5 and 48
An illustration shows a number line ranging from 43 to 48 in increments of 1. A boxplot is placed above the number line. The box is divided into two sections. The first box extends from 44 to 45.5 and the second box extends from 45.5 to 47. A line extends from 43 to the left side of the first box. Another line extends from the right side of the second box to 48.
What is the lower quartile and upper quartile of the box plot (in that order)?
(1 point)
Responses
43 and 48
43 and 48
43 and 45.5
43 and 45.5
44 and 47
44 and 47
45.5 and 48
45.5 and 48
Based on the given information of the box plot, we can determine the lower quartile (Q1) and upper quartile (Q3).
In the description, it states that the first box extends from 44 to 45.5, and the second box extends from 45.5 to 47.
The lower quartile (Q1) is the boundary of the first box, which is given as 44.
The upper quartile (Q3) is the boundary of the second box, which is given as 47.
Therefore, the lower quartile (Q1) and upper quartile (Q3) in the box plot are 44 and 47, respectively.
Hence, the correct answer is: 44 and 47.
In the description, it states that the first box extends from 44 to 45.5, and the second box extends from 45.5 to 47.
The lower quartile (Q1) is the boundary of the first box, which is given as 44.
The upper quartile (Q3) is the boundary of the second box, which is given as 47.
Therefore, the lower quartile (Q1) and upper quartile (Q3) in the box plot are 44 and 47, respectively.
Hence, the correct answer is: 44 and 47.
Use the image to answer the question.
An illustration shows a number line ranging from 43 to 48 in increments of 1. A boxplot is placed above the number line. The box is divided into two sections. The first box extends from 45 to 45.5 and the second box extends from 45.5 to 46. A line extends from 43 to the left side of the first box. Another line extends from the right side of the second box to 48.
The dataset for this box plot is 43, 44, 45, 46, 47, 48. What is the error on the box plot?
(1 point)
Responses
The box plot displays the wrong quartile values.
The box plot displays the wrong quartile values.
The box plot displays the wrong minimum and maximum values.
The box plot displays the wrong minimum and maximum values.
The box plot displays the wrong median and upper quartile.
The box plot displays the wrong median and upper quartile.
The box plot displays the wrong minimum values.
An illustration shows a number line ranging from 43 to 48 in increments of 1. A boxplot is placed above the number line. The box is divided into two sections. The first box extends from 45 to 45.5 and the second box extends from 45.5 to 46. A line extends from 43 to the left side of the first box. Another line extends from the right side of the second box to 48.
The dataset for this box plot is 43, 44, 45, 46, 47, 48. What is the error on the box plot?
(1 point)
Responses
The box plot displays the wrong quartile values.
The box plot displays the wrong quartile values.
The box plot displays the wrong minimum and maximum values.
The box plot displays the wrong minimum and maximum values.
The box plot displays the wrong median and upper quartile.
The box plot displays the wrong median and upper quartile.
The box plot displays the wrong minimum values.
Questions: {3 points}
In the Phase Simulator, click on the option labeled show angle (if not already done so)-which graphically displays the angle between the direction of the sun and moon. Now drag the moon around the sun to a variety of different locations and note the appearance of the Moon Phase. Describe how the value of the angle correlates with the appearance of the moon.
In the Phase Simulator, click on the option labeled show angle (if not already done so)-which graphically displays the angle between the direction of the sun and moon. Now drag the moon around the sun to a variety of different locations and note the appearance of the Moon Phase. Describe how the value of the angle correlates with the appearance of the moon.
1 answer