Answered: 2. The following table of grouped data…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

2. The following table of grouped data represents the ages (in years) of 100 singers of a

360-member choir.

Ages of Members (years) Number of Members

20 to less than 25 11

25 to less than 30 14

30 to less than 35 10

35 to less than 40 8

40 to less than 45 18

45 to less than 50 6

50 to less than 55 7

55 to less than 60 4

60 to less than 65 12

65 to less than 70 10

a. What is the value of N?

b. Calculate the mean of the ages. ]

c. Show your calculation for the median position and identify the median class.

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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