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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: Er' . where f

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: Er' . where f

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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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: 79 85 86 87 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 60 62 74 74 75 79 81 81 87 6. The following table shows the frequency distribution of ages of 25 employees in a company. Class Frequency a. Class boundaries b. Relative frequencies c. Modal class 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 65 65 67 69 71 72 76 76 77 77 83 84 84 84 90 92 94 96 2 6 13 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 22 32 75 82 44 01 50 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 B/s 16
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: 79 85 86 87 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 60 62 74 74 75 79 81 81 87 6. The following table shows the frequency distribution of ages of 25 employees in a company. Class Frequency a. Class boundaries b. Relative frequencies c. Modal class 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 65 65 67 69 71 72 76 76 77 77 83 84 84 84 90 92 94 96 2 6 13 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 22 32 75 82 44 01 50 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 B/s 16
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