The following data set contains the number of minutes spent by each of 20 students in the class to write the assignment. 42 48 59 61 62 62 64 65 66 68 68 70 71 71 72 72 78 79 84 88 a. Find the median, the first and the third quartiles, and the interquartile range. b. Find the left outer fence, left inner fence, right inner fence, and right outer fence. c. Find the length of left whisker and the length of right whisker in the box – whisker plot. d. List all outliers (if any) in the last row. If there are no outliers state “none”. List all extreme values (if any) in the last row. If there are no extreme values state “none”.
The following data set contains the number of minutes spent by each of 20 students in the class to write the assignment. 42 48 59 61 62 62 64 65 66 68 68 70 71 71 72 72 78 79 84 88 a. Find the median, the first and the third quartiles, and the interquartile range. b. Find the left outer fence, left inner fence, right inner fence, and right outer fence. c. Find the length of left whisker and the length of right whisker in the box – whisker plot. d. List all outliers (if any) in the last row. If there are no outliers state “none”. List all extreme values (if any) in the last row. If there are no extreme values state “none”.
The following data set contains the number of minutes spent by each of 20 students in the class to write the assignment. 42 48 59 61 62 62 64 65 66 68 68 70 71 71 72 72 78 79 84 88 a. Find the median, the first and the third quartiles, and the interquartile range. b. Find the left outer fence, left inner fence, right inner fence, and right outer fence. c. Find the length of left whisker and the length of right whisker in the box – whisker plot. d. List all outliers (if any) in the last row. If there are no outliers state “none”. List all extreme values (if any) in the last row. If there are no extreme values state “none”.
a. Find the median, the first and the third quartiles, and the interquartile range.
b. Find the left outer fence, left inner fence, right inner fence, and right outer fence.
c. Find the length of left whisker and the length of right whisker in the box – whisker plot.
d. List all outliers (if any) in the last row. If there are no outliers state “none”. List all extreme values (if any) in the last row. If there are no extreme values state “none”.
Show work for the calculations for Part B and Part C.
Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.
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