X= 3. Prove the following: The arithmetic mean for grouped data is given by and m denote the frequency and mid-point respectively. 4. Define the following: i. Statistic ii. Parameter m Σr . where f
X= 3. Prove the following: The arithmetic mean for grouped data is given by and m denote the frequency and mid-point respectively. 4. Define the following: i. Statistic ii. Parameter m Σr . where f
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:21:50 P
statistical examples of your own.
3. Prove the following: The arithmetic mean for grouped data is given by
and m denote the frequency and mid-point respectively.
4. Define the following:
i. Statistic
Parameter
53
72
78
ii.
iii. Sample
iv. Kurtosis
5. The total time (in hours) that a sample of 40 students studied for a statistics examination are
shown below:
56
71
24-30
31-37
38-44
45-51
52-58
59-65
Find:
60 62 65 65 67 69 71
74 74
79 81
87
79
85 86 87
iv. Estimate the median
v. Estimate the mode
vi. Estimate the geometric and harmonic mean
vii. Estimate the inter-quartile range
viii. Estimate the coefficient of skewness and comment on the distribution of the data
a. Class boundaries
b. Relative frequencies
c. Modal class
6. The following table shows the frequency distribution of ages of 25 employees in a company.
Class
Frequency
15-17
18-20
3
1
5
9
6
1
d. Prepare the "less than"
cumulative frequency curve.
21-23
24-26
27-29
30-32
33-35
Cumulative
frequency
2
6
13
75
81
87
22
32
75
82
7. The number of hours that 50 employees of a certain organisation spend in the office in a week is
given in the following grouped cumulative distribution table:
Hours
44
76
83
90
50
72
76 77 77
84
84
84
92 94 96
18 161
Σfm
x = 2m
27
i. Construct a grouped frequency distribution table
ii. Find the mean, median and mode of the distribution
, where f
O
92
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