Answered: A random sample was taken of the…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter5: Linear Inequalities

Section5.2: Solving Inequalities By Multiplication And Division

Problem 3AGP

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A random sample was taken of the thickness of insulation in transformer windings, and the following thicknesses in millimeters were recorded:

1. a) Make a frequency table for these data starting at lowest lower class limit of 20 and with a class width/ class size of 7.

b) Determine the class marks, class boundaries, relative frequency, <CF, and >CF.
Note: You can use EXCEL.

2. From question 1, Draw the frequency histogram and ogives and make a short description about the shape of distribution.

3. From the constructed frequency distribution, find the mean, median, mode, variance and standard deviation

4. From question 1: Using the frequency distribution, describe the shape in terms of its skewness and kurtosis (calculate/compute SK and K).

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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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