A sample was taken of the verbal test scores of 20 applicants to graduate school at a large midwestern university. Below are the scores. For convenience, the data are ordered.280310340350380400420420420430510510520520600610670720750770(All answers should be exact calculations.)a) The median is .b) The first quartile is .c) The third quartile is .d) The IQR is e) The lower fence is .f) The upper fence is .

Step 1:Data are in the form of ascending order 280, 310, 340, 350, 380, 400, 420, 420, 420, 430,…

Answered: A sample was taken of the verbal test…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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A sample was taken of the verbal test scores of 20 applicants to graduate school at a large midwestern university. Below are the scores. For convenience, the data are ordered.

280	310	340	350	380	400	420	420	420	430
510	510	520	520	600	610	670	720	750	770

(All answers should be exact calculations.)
a) The median is .
b) The first quartile is .
c) The third quartile is .
d) The IQR is
e) The lower fence is .
f) The upper fence is .

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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