1. A sample of 50 listeners of Light and Easy radio station was taken and the data on their ages was organised into a frequency distribution. Number of listeners Age 13-20 4 21-28 8 29-36 10 37-44 12 45-52 9 53 - 60 7 a. Construct a frequency table with columns for class midpoint, frequency, relative frequency, cumulative frequency, and cumulative relative frequency. b. Draw a histogram for the above distribution. C. Based on the table above, calculate the following: i. Minimum ii. Maximum iii. Mode iv. Mean V. Median vi. First Quartile vii. Third Quartile viii. Interquartile Range ix. Amplitude X. Mean Absolute Deviation

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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Question I practice.
1. A sample of 50 listeners of Light and Easy radio station was taken and the data on their ages was
organised into a frequency distribution.
Number of listeners
Age
13 - 20
4
21-28
8
29 - 36
10
37-44
12
45-52
9
53-60
7
a. Construct a frequency table with columns for class midpoint, frequency, relative
frequency, cumulative frequency, and cumulative relative frequency.
b. Draw a histogram for the above distribution.
C. Based on the table above, calculate the following:
i. Minimum
ii. Maximum
iii. Mode
iv. Mean
V. Median
vi. First Quartile
vii. Third Quartile
viii. Interquartile Range
ix. Amplitude
X. Mean Absolute Deviation
xi. Variance
xii. Standard Deviation
d. Draw a scatter plot of the data to see the underlying trend in the relationship between age
and number of listeners.
e. Perform Pearson Correlation analysis for the above data.
f. Discuss about the insight derived from (1) to (5).
Transcribed Image Text:Question I practice. 1. A sample of 50 listeners of Light and Easy radio station was taken and the data on their ages was organised into a frequency distribution. Number of listeners Age 13 - 20 4 21-28 8 29 - 36 10 37-44 12 45-52 9 53-60 7 a. Construct a frequency table with columns for class midpoint, frequency, relative frequency, cumulative frequency, and cumulative relative frequency. b. Draw a histogram for the above distribution. C. Based on the table above, calculate the following: i. Minimum ii. Maximum iii. Mode iv. Mean V. Median vi. First Quartile vii. Third Quartile viii. Interquartile Range ix. Amplitude X. Mean Absolute Deviation xi. Variance xii. Standard Deviation d. Draw a scatter plot of the data to see the underlying trend in the relationship between age and number of listeners. e. Perform Pearson Correlation analysis for the above data. f. Discuss about the insight derived from (1) to (5).
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