The range of this dataset is 22.35 inches, calculated as:
Maximum value - Minimum value = 26.51 - 4.16 = 22.35
The amounts of rainfall measured in inches in downtown Los Angeles during the six rainy seasons from 2000 to 2006 are given as a dataset.
15.56, 4.16, 10.38, 8.61, 26.51, 10.89
Find the range of this dataset.
(1 point)
7 answers
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)
38.1, 44.2, 35.6, 43.0, 41.0, 44.4
Find the interquartile range of the dataset.
(1 point)
To find the interquartile range, we first need to find the first quartile (Q1) and the third quartile (Q3).
To do this, we can arrange the dataset in order from least to greatest:
35.6, 38.1, 41.0, 43.0, 44.2, 44.4
Then we can find Q1, which is the median of the lower half of the dataset:
Q1 = median of {35.6, 38.1, 41.0} = 38.1
And we can find Q3, which is the median of the upper half of the dataset:
Q3 = median of {43.0, 44.2, 44.4} = 44.2
Finally, we can find the interquartile range (IQR), which is the difference between Q3 and Q1:
IQR = Q3 - Q1 = 44.2 - 38.1
IQR = 6.1
Therefore, the interquartile range of the dataset is 6.1.
To do this, we can arrange the dataset in order from least to greatest:
35.6, 38.1, 41.0, 43.0, 44.2, 44.4
Then we can find Q1, which is the median of the lower half of the dataset:
Q1 = median of {35.6, 38.1, 41.0} = 38.1
And we can find Q3, which is the median of the upper half of the dataset:
Q3 = median of {43.0, 44.2, 44.4} = 44.2
Finally, we can find the interquartile range (IQR), which is the difference between Q3 and Q1:
IQR = Q3 - Q1 = 44.2 - 38.1
IQR = 6.1
Therefore, the interquartile range of the dataset is 6.1.
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
4
0
2.5
6.5
5, 7, 9, 4, 3, 2, 1, 0, 11, 12, 6, 3, 4, 3, 2, 6 (1 point)
Responses
4
0
2.5
6.5
To find the first quartile (Q1), we first need to arrange the dataset in order from smallest to largest:
0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 9, 11, 12
The median of the entire dataset is 4, since there are 16 values.
Next, we identify the median of the lower half of the dataset. The lower half contains the values from 0 to 4:
0, 1, 2, 2, 3, 3, 3, 4
The median of this group is the value halfway between the two middle values, which are 2 and 3. So the median of the lower half is:
(Q1) = 2.5
Therefore, the first quartile of the dataset is 2.5. Answer: 2.5.
0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 9, 11, 12
The median of the entire dataset is 4, since there are 16 values.
Next, we identify the median of the lower half of the dataset. The lower half contains the values from 0 to 4:
0, 1, 2, 2, 3, 3, 3, 4
The median of this group is the value halfway between the two middle values, which are 2 and 3. So the median of the lower half is:
(Q1) = 2.5
Therefore, the first quartile of the dataset is 2.5. Answer: 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
47.8
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
47.8
50.9
53.3
To find the third quartile (Q3), we first need to arrange the dataset in order from smallest to largest:
45.5, 46.9, 47.2, 47.5, 48.1, 49.7, 52.1, 53.3
The median of the entire dataset is the average of the middle two values, which are 48.1 and 49.7:
median = (48.1 + 49.7)/2 = 48.9
Next, we identify the median of the upper half of the dataset. The upper half contains the values from 49.7 to 53.3:
49.7, 52.1, 53.3
The median of this group is the value in the middle, which is 52.1.
Therefore, the third quartile of the dataset is 52.1. Answer: 52.1.
45.5, 46.9, 47.2, 47.5, 48.1, 49.7, 52.1, 53.3
The median of the entire dataset is the average of the middle two values, which are 48.1 and 49.7:
median = (48.1 + 49.7)/2 = 48.9
Next, we identify the median of the upper half of the dataset. The upper half contains the values from 49.7 to 53.3:
49.7, 52.1, 53.3
The median of this group is the value in the middle, which is 52.1.
Therefore, the third quartile of the dataset is 52.1. Answer: 52.1.
1 answer