Statistics Question

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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Step 1

Mode:

Modal class is the class with highest frequency.

Here, modal class is 105-109.

Mode=l+f1-f02f1-f0-f2×h=105+21-10221-10-11×4=107.0952

Mode = 107.0952

Step 2

Mean:

x=fxfx is the midpoint which is average of lower and upper boundaries of the class.

Data Frequency (f) x fx
70-74 2 72 144
75-79 0 77 0
80-84 3 82 246
85-89 3 87 261
90-94 4 92 368
95-99 9 97 873
100-104 10 102 1020
105-109 21 107 2247
110-114 11 112 1232
  f=63   fx=6391

x=fxf=639163=101.4444

Mean = 101.4444

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