For 60 randomly selected college students, exam score frequency distribution

crapthach24

crapthach24

Answered question

2021-12-04

For 60 randomly selected college students, exam score frequency distribution was obtained. Find the Coefficient of variation for the data.
Class LimitFreq510610151215201820251525309

Answer & Explanation

Julie Mathew

Julie Mathew

Beginner2021-12-05Added 15 answers

Step 1
Given:
n=60
Formula Used:
Coefficient of variation =SX×100%
Where,
S is sample standard deviation
Sample standard deviation S=FX2nX2n1
X is sample mean
Sample mean X=FXF
Mid-point x=Lower class limit+Upper class limit2
Step 2
Solution:
ClassMidpoint"X"X2Frequency"F"FXFX25107.556.25645337.5101512.5156.25121501875152017.5306.25183155512.5202522.5506.2515337.57593.75253027.5756.259247.56806.25F=60FX=1095FX2=22125
Step 3
Sample mean X=FXF
=109560
X=18.25
Sample standard deviation S=FX2nX2n1
=2212560×(18.25)2601
=2141.2559
=36.2924
S=6.0243
Coefficient of variation =SX×100%
=6.024318.25×100%
=33.0099
Step 4
Answer:
Coefficient of variation =33.0099.

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