Statistics assignment question 1
Assignment-2
- 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 |
8-12 |
12-16 |
16-20 |
20-24 |
24-28 | |||||||
Frequency |
5 |
12 |
20 |
10 |
3 | |||||||
Calculate the mean deviation about median for the following data: | ||||||||||||
πͺππππ |
0-10 |
10-20 |
20-30 |
30-40 |
40-50 |
50-60 |
60-70 | |||||
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 |
140-150 |
150-160 |
160-170 |
170-180 |
180-190 |
190-200 |
π |
4 |
6 |
10 |
18 |
9 |
3 |
- For a group of 20 items, βπ = 1452 and βπ^{2 }= 144280. Find the standard deviation and coefficient of variation.
- Determine the standard deviation and coefficient of variation from the following data.
πͺππππ |
3.0-3.5 |
3.5-4.0 |
4.0-4.5 |
4.5-5.0 |
5.0-5.5 |
5.5-6.0 |
6.0-6.5 |
6.5-7.0 |
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.