Measures of Dispersion.docx - Name: ...

Name: ____________________________________________ Score: ___________
Course/Year/Section/Major: ______________________ Date: ____________
MEASURE OF DISPERSION
I. Find the range, standard deviation, and variance of the given data set.
A classroom teacher gave a test to 10 students. The scores obtained are
as follows: 75, 73, 70, 65, 65, 65, 60, 57, 50, and 50.
Range:
HV = 75 LV = 50
R = HV – LV
R= 75 – 50
R = 15
Students Scores
1 75 75 – 63 = 12 144
2 73 73 – 63 = 10 100
3 70 70 – 63 = 7 49
4 65 65 – 63 = 2 4
5 65 65 – 63 = 2 4
6 65 65 – 63 = 2 4
7 60 60 – 63 = -3 9
8 57 57 – 63 = -6 36
9 50 50 – 63 = -13 169
10 50 50 – 63 = -13 169
Total (n) 630 688
Arithmetic Mean:
Variance:
630
10
63
688
10 -1
76.44

Standard Deviation:
ll. Solve for the range, standard deviation, and variance.
Range:
R = 49 – 8
R = 41
Class limit f X fX
8-14 6 11 66 726
15-21 8 18