1) Mean = 192.2, Median = 223, Mode = None, Range = 282, MAD = 76.54, IQR = 105.5
2) To find the mean, add all the numbers together and divide by the total number of numbers: (141 + 330 + 292 + 198 + 263 + 224 + 149 + 121 + 223 + 125 + 126 + 48 + 111 + 327 + 238) / 15 = 192.2
To find the median, arrange the numbers in order from smallest to largest and find the middle number. If there are two middle numbers, take the average of the two. In this case, the numbers ordered from smallest to largest are: 48, 111, 121, 125, 126, 141, 149, 198, 223, 223, 238, 263, 292, 327, 330. The middle number is 223, so that's the median.
To find the mode, identify the number that appears most frequently in the data set. In this case, there is no number that appears more than once, so there is no mode.
To find the range, subtract the smallest number from the largest number. In this case, the smallest number is 48 and the largest number is 330, so the range is 330 - 48 = 282.
To find the MAD, first find the mean of the data set (192.2 in this case). Then, subtract the mean from each number in the data set, take the absolute value of each difference, and find the mean of those absolute values. In formula form:
MAD = (|141 - 192.2| + |330 - 192.2| + |292 - 192.2| + ... + |238 - 192.2|) / 15 = 76.54
To find the IQR, first find the median of the data set (223 in this case). Then, divide the data set into two halves: one half that includes all the numbers that are less than or equal to the median, and another half that includes all the numbers that are greater than or equal to the median. Find the median of each of these two halves. The difference between these two medians is the IQR. In formula form:
Lower half: 48, 111, 121, 125, 126, 141, 149, 198, 223
Upper half: 223, 238, 263, 292, 327, 330
Median of lower half: (125 + 126) / 2 = 125.5
Median of upper half: (263 + 292) / 2 = 277.5
IQR = 277.5 - 125.5 = 152
3) To create a box and whisker plot, we first need to find the five-number summary: the minimum, Q1 (the first quartile), the median, Q3 (the third quartile), and the maximum. We can use the same approach we used to find the IQR to find Q1 and Q3.
Minimum: 48
Q1: 125.5
Median: 223
Q3: 277.5
Maximum: 330
Then, we draw a number line that includes all the numbers in the data set, and mark the five numbers we just found:
<--|---------|---------|--------|--------|--------|-->
48 125.5 223 277.5 330
We draw a box that goes from Q1 to Q3 (the interquartile range), and draw a line inside the box at the median. We extend "whiskers" from the ends of the box to the minimum and maximum. Any outliers (numbers that are more than 1.5 times the IQR away from the nearest quartile) are shown as individual points.
Here's what the box and whisker plot looks like:
```
350 | _
| | |
| _ | | _
| | | | |/ \
| | | | |||||
150 |__|_|____|_||||____________
48 125.5 223 330
```
1) Use these 15 numbers as your data points
141, 330, 292, 198, 263, 224, 149, 121, 223, 125, 126, 48, 111, 327, 238
2) Find the:
Mean=
Median=
Mode=
Range=
MAD (mean absolute deviation)=
IQR(Interquartile range of box n whisker plot)=
3) Create a box n whiskers plot of the data
3 answers
i don't want how to find the. Mean=
Median=
Mode=
Range=
Median=
Mode=
Range=
Alright, here is the box n whisker plot of the data:
```
350 | _
| _| |_
| | |
| _ | |
| | | | |
150 |__|_|___|_____|
48 125 223
```
To create a box and whisker plot, we first need to find the five-number summary: the minimum, Q1 (the first quartile), the median, Q3 (the third quartile), and the maximum. We can use these summaries to draw the plot.
Minimum: 48
Q1: 125
Median: 223
Q3: 238
Maximum: 330
Then, we draw a number line that includes all the numbers in the data set, and mark the five numbers we just found:
<--|---------|---------|--------|--------|--------|-->
48 125 223 238 330
We draw a box that goes from Q1 to Q3 (the interquartile range), and draw a line inside the box at the median. We extend "whiskers" from the ends of the box to the minimum and maximum. The plot indicates the distribution of the data points and shows any potential outliers.
```
350 | _
| _| |_
| | |
| _ | |
| | | | |
150 |__|_|___|_____|
48 125 223
```
To create a box and whisker plot, we first need to find the five-number summary: the minimum, Q1 (the first quartile), the median, Q3 (the third quartile), and the maximum. We can use these summaries to draw the plot.
Minimum: 48
Q1: 125
Median: 223
Q3: 238
Maximum: 330
Then, we draw a number line that includes all the numbers in the data set, and mark the five numbers we just found:
<--|---------|---------|--------|--------|--------|-->
48 125 223 238 330
We draw a box that goes from Q1 to Q3 (the interquartile range), and draw a line inside the box at the median. We extend "whiskers" from the ends of the box to the minimum and maximum. The plot indicates the distribution of the data points and shows any potential outliers.