Assignment - 1
Topic(s) Included: Measures of Central Tendency, Measure of Dispersion
Quantiles, Frequency Distribution, Skewness
CLO – 1/CLO-2
PLO-1/PLO-3
Question 1:
74
77
39
88
34
75
87
14
89
30
25
47
71
76
84
39
16
58
78
34
97
44
23
48
24
30
31
52
14
08
Data Set 1
24
58
17
14
73
09
06
67
65
62
47
51
69
55
95
66
46
91
19
93
Part a:
For the “dataset 1” calculate the following:
 Arithmetic Mean
 Geometric Mean
 Harmonic Mean
 Root Mean Square
 Median
 Mode
Part b:
Create a frequency distribution table for “dataset 1” using 6 classes and evaluate the following
measures;
● All the Quartiles
● Mean
● Median
● Mode
● D6 and D9
● P35 and P53
● Five Number Summary
● Draw Box Plot
● Bowley’s Coefficient of Skewness
● Karl Pearson’s Coefficient of Skewness
Question 2:
Also, for the frequency distributed data Plot Histogram, Frequency Polygon and Ogive
Question 3:
If the following frequency distribution shows the average number of students per teacher in the
50 major cities of Pakistan
Class Limits
9-11
12 – 14
15 – 17
18 – 20
21 – 23
24 – 26
Frequency
3
5
12
18
8
4
Table 1
Determine
● Range
● Semi InterQuartile Range
● Mean Deviation
● Standard Deviation
● Variance
Question 4:
Using the Karl Pearson’s measure of Skewness, find the coefficient of skewness for each
distribution, and describe the shape of the distribution.



Mean = 20, median = 23, standard deviation = 5.
Mean = 53, mode = 48, Variance = 64.
Mean = 98.5, median = 98.5, Variance = 4.