Transcribed Image Text: 7:31 AM
@ 99%
Edit
3 88 3 X
$
Handout O ne-An O ver view of D escriptive Statistics-(Practice Problems)
Q -1: Specify the mathematical symbdl used for each of the following descriptive measures.
A. Sample mean B. Sample standard deviation C. Population mean D. Population stand deviation
Q-2: How is a z-score obtained? What is the interpretation of a z-score? An observation has a z-score of
2.9. Roughly speaking, what is the relative standing of the observation?
Q-3: Given the flowing index numbers for 10 years. Calculate arithmetic, geometric, hamonic means.
| 102
101
| 95
105
87
85
| 112
110
112
Q -4: The number of children in each of the thirty families is as follows. Calculate median, Quartile,
Quartiles, Decilei, percentileso, mean and mode.
3120|4|6|1|0|1|523| 3 0|7|220|3 122|4|24| 0|4|3|14|
Q -5: For the data given below, calculate arithmetic, geometric, hamonic means, median, mode, S, mean
deviation (M.D), Š, Coefficient of variation Cov, range, quartile deviation and interquartile range
| -2 |5
|27
15
T4 0 3
|11
|-2 |0
|-1
4 0
Q -6: Caculate arithmetic, geometric, hamoric mears, medan, mode, S, (M.D), S, Cov, range, quartile
deviation, interquartile range and its lower, upper limits of the following data.
| 33.0
| 38.0
37.5
| 31.5
| 27.4
| 21.0
| 32.0
| 33.0
|17.4
|34.5
Q -7: A sample of 10 participating soldiers revealed the following data on total load mass, in kilograms.
Calculate arithmetic, geometric, hamonic means, range, S, M.D, S? and coefficient of variation (CoV).
|44
48
50
| 45
| 49
| 47
|37
54
40
43
Q -8: For the following frequency distribution, calculate arithmetic, geometric, hamonic means, median,
mode, S, (M.D), S, Cov, quartile deviation, interquartile range and its lower, upper limits.
Age Groups
Frequency
10-12
12-14
14-16
42
16-18
18-20
8
14
26
30
Q -9: For the following frequency distribution, calculate arithmetic, geometric, hamonic means, median,
mode, S, M.D, S?, range, Cov, quartile deviation, interquartile range andits lower, upper limits.
Marks Obtained
Number of students
0-9
10-19
20-29
30-39
40-49
8
Q -10: The following distribution gives the number of defective pieces in 100 unifom size samples of
certain kind of bolt. Calculate arithmetic, geometric, harmonic means, medan, mode, S, M.D, S, range,
Cov, quartile deviation, interquartile range and its lower, upper limits.
No. of Defective Bolt
Frequency
10-14
48
15-19
10
20-24
25-29
0-4
12
5-9
20
3
Q-11: The following data represent the lives, recorded in weeks, of 50 car batteries of a certain brand.
Calculate arithmetic, geometric, hamonic means, median, mode, S, M.D, S?, CoV.
Lifein Weeks
No, of Batteries
31-35
14
16-20
26-30
8
36-40
41-45
46-50
21-25
6
8
6.
4
Q-12: The following table shows the measurement of heights (in c.m) of 100 students, calculate
arithmetic, geometric, hamonic means, medan, mode, S, M .D, S, range and Cov.
145-154
14
Height (cm)
Number of students
155-164
165-174
32
135-144
185-194
175-184
16
5
25
8
Q-13: The measurement of heights of 400 individuals is given inthe following table; calculate arithmetic,
geometric, harmonic means, median, mode, S, M.D, S?, range, Cov, quartile deviation, interquartile range
andits lower, upper limits.
Height (C.m)
No. of Indviduals
140-154
155-169
76
200-214
54
185-199
170-184
150
35
85
Q-14: The following table shows the monthly salaries of employees in a company, calculate arithmetic,
geometric, harmonic means, median, mode, S, M.D, S?, range and CoV.
Cale oAi 00 70n Lo00 o00 Lo00 onnl 1000 1000 1100 1100 1900 1200l 1900 13nn L1 400 1 A0n
DO
DO
W
Tools
Mobile View
Share
PDF to DOC