Answered: a) Compute the arithmetic Mean, Median…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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A survey was conducted to find the number of hours that students spend viewing TV in a small town in a district in Ghana. The table below shows the results.
No. of Hours
1−4
5−8
9−12
13−16
17−20
No. of Students (f)
7
12
15
9
7
a) Compute the arithmetic Mean, Median and Mode of the TV viewing times.
b) Calculate the Standard Deviation of the distribution and the Coefficient of Variation.
c) Calculate the Karle Pearson’s Coefficient of Skewness from the above data.
d) Construct a Frequency Curve for the above distribution of data.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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