Statistics assignment question 1
Assignment2
 Calculate the quartile deviation and its coefficient from the following data:
πΏ 
6 
12 
18 
24 
30 
36 
42 

π 
4 
7 
9 
18 
15 
10 
5 

>
Calculate the quartile deviation and its coefficient from the following data: 

Class 
812 
1216 
1620 
2024 
2428 

Frequency 
5 
12 
20 
10 
3 

>
Calculate the mean deviation about median for the following data: 

πͺππππ 
010 
1020 
2030 
3040 
4050 
5060 
6070 

π 
7 
12 
18 
25 
16 
14 
8 
2.
3.
 Compute the mean deviation about the mean from the following distribution of the scores of 50 college students:
πΊπππππ 
140150 
150160 
160170 
170180 
180190 
190200 
π 
4 
6 
10 
18 
9 
3 
 For a group of 20 items, ∑π = 1452 and ∑π^{2 }= 144280. Find the standard deviation and coefficient of variation.
 Determine the standard deviation and coefficient of variation from the following data.
πͺππππ 
3.03.5 
3.54.0 
4.04.5 
4.55.0 
5.05.5 
5.56.0 
6.06.5 
6.57.0 
π 
2 
6 
12 
15 
16 
10 
5 
2 
 (a) The standard deviation of a set of 50 items if 6.5. Find the standard deviation, if every item is increased by 5.
 Find the coefficient of variation, if the sum of the squares of the deviations of 10 observations taken from the mean 50 is 250.
 The standard deviation of a set of 50 items is 8. Find the standard deviation, if each item is multiplied by 2.
Measure of Dispersion
 During the 10 weeks of a session, the marks obtained by two candidates, Ramesh and Suresh, taking the Computer Programme are given below:
Ramesh 
58 
59 
60 
54 
65 
66 
52 
75 
69 
52 
Suresh 
87 
89 
78 
71 
73 
84 
65 
66 
56 
46 
 Who is better scorer Ramesh or Suresh?
 Who is more consistent?
 The following table gives heights of boys and girls in a college:
Boys 
Girls 

Numbers 
400 
100 
Average Height 
68 inches 
65 inches 
Variance 
9 
4 
 Find standard deviation of the heights of boys and girls taken together.
 Whose heights are more variable?
 If standard deviation is 18.5, Calculate quartile deviation and mean deviation.
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