Answered: The following is the distribution of…

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

D. The following is the distribution of weekly wages of 600 workers in a factory.

Weekly earnings Number of workers
Below 875 69
875-950 167
950-1025 207
1025-1100 65
1100-1175 58
1175-1250 24
1250-1325 10
Total 600

(i) Draw an ogive for the above data and hence obtain the median value.
(ii) Obtain the limits of weekly wages of central 50% of the workers.
(iii) Estimate graphically the percentage of workers who earned wages 950 and 1250.

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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