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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
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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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
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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