Question

Calculate the coefficient of variation from the data.
Size of item
3.5 3
4.5 7
5.5 22
6.5 60
7.5 85
8.5 32
9.5 8

Answer 1

Answer:

Solution:

Occurance (xi) Frequency (fi) Freq ∗(xi) (xi−mean) (xi−mean)2 fi(xi−mean)2

3.5 3 10.5 -3.59 12.887 38.661

4.5 7 31.5 -2.59 6.707 46.952

5.5 22 121 121 2.528 55.609

6.5 60 390 -0.59 0.348 20.876

7.5 85 637.5 0.41 0.168 14.298

8.5 32 272 1.41 1.988 63.632

9.5 8 76 2.41 5.809 46.47

Total 217 1538.5 - - 286.498

σ2=∑fi(xi−x¯)2∑fi=286.49217

=1.32