Question

Find the range and mean of each data set. Use your results to compare the two data sets. $$ \begin{array}{l}{\text { Set } \mathrm{C}: 4.5 \text { 7.1 } 8.36 .9} \\ {\text { Set D: } 2.129 .5 \quad 1.2 \text { 3.3 }}\end{array} $$

Name: Problem 17, Chapter 12: Algebra 1 Common Core
Uploaded: 2020-04-06T03:18:06-08:00
Duration: 50 s
Channel: Amrita Bhasin
Description: Find the range and mean of each data set. Use your results to compare the two data sets. Set C: 4.5 7.1 8.36 .9 Set D: 2.129 .5 1.2 3.3

   Find the range and mean of each data set. Use your results to compare the two data sets.
$$
\begin{array}{l}{\text { Set } \mathrm{C}: 4.5 \text { 7.1 } 8.36 .9} \\ {\text { Set D: } 2.129 .5 \quad 1.2 \text { 3.3 }}\end{array}
$$

Algebra 1 Common Core

Randall I.… 1st Edition

Chapter 12, Problem 17

Instant Answer

Solved by Expert Amrita Bhasin

04/06/2020

Step 1

The range is calculated by subtracting the smallest value from the largest value in the set. For Set C, the largest value is 8.36 and the smallest value is 4.5. So, the range is $8.36 - 4.5 = 3.86$. For Set D, the largest value is 3.3 and the smallest value is Show more…

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Find the range and mean of each data set. Use your results to compare the two data sets. $$ \begin{array}{l}{\text { Set } \mathrm{C}: 4.5 \text { 7.1 } 8.36 .9} \\ {\text { Set D: } 2.129 .5 \quad 1.2 \text { 3.3 }}\end{array} $$

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Key Concepts

Range

Range is a measure of dispersion in a data set. It is determined by subtracting the smallest value from the largest value. This simple statistic provides a quick sense of the spread or variability in the data, showing how widely the values are distributed.

Arithmetic Mean

The arithmetic mean is a measure of central tendency calculated by summing all the values in a data set and then dividing by the number of values. It represents the average value of the data set and is useful for understanding the typical value around which data points cluster.

Data Set Comparison

Comparing data sets using descriptive statistics involves looking at measures of central tendency, like the mean, and measures of dispersion, like the range. This comparison helps identify similarities or differences in the location and spread of data, providing insights into how the data sets differ in terms of their overall distribution and typical values.

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