To compare: Three given data sets and contrast.
Given:
Set A has a mean of 70 and a standard deviation of 10.
Set B has a mean of 70 and a standard deviation of 5.
Set C has a mean of 70 and a standard deviation of 20.
Concept used:
The measure of central tendency is to represent the center of distribution while the measure of variation is to represent the spread or dispersion of the distribution across the mean.
Explanation:
The measure of central tendency the mean of all three data sets A, B, and C are the same 70. The measures of variation in a data distribution say distribution across the mean where the data set C has the highest standard deviation it indicates that the data is widely spread across the mean. The standard deviation of data set B is the lowest 5. It indicates that the data is very close to the mean. The standard deviation of data set A is 10 which indicates the data is close to the mean when compared to set C and is widely spread when compared to set B. In terms of increasing order of spread, the data sets are arranged as B, A, and C.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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