Asked by Shannon Michaud on Jun 25, 2024
Verified
Which set has the largest standard deviation? Set 1 Set 2377710367810\begin{array} { c c c c c | c c c c c } \text { Set } 1 &&&&& \text { Set } 2 \\\hline 3 & 7 & 7 & 7 & 10 & 3 & 6 & 7 & 8 & 10\end{array} Set 1377710 Set 2367810
A) Neither,because set 1 and set 2 have the same standard deviation.
B) Set 1,because 7 and 7 in set 1 are farther from 7 than 6 and 8 in set 2.
C) Set 1,because 6 and 8 in set 1 are farther from 7 than 7 and 7 in set 2.
D) Set 2,because 6 and 8 in set 2 are farther from 7 than 7 and 7 in set 1.
E) Set 2,because 7 and 7 in set 2 are farther from 7 than 6 and 8 in set 1.
Standard Deviation
A measure of the amount of variation or dispersion of a set of values, indicating how much the values in a data set deviate from the mean.
- Differentiate measures of centrality (mean, median) from measures of variability (range, interquartile range, standard deviation), and identify the most applicable measure for a specific data collection.
Verified Answer
GM
Grace MwangiJul 01, 2024
Final Answer :
D
Explanation :
Standard deviation measures the dispersion of a dataset relative to its mean. Set 2 has a wider spread of values (3, 6, 7, 8, 10) compared to Set 1 (3, 7, 7, 7, 10), making its standard deviation larger.
Learning Objectives
- Differentiate measures of centrality (mean, median) from measures of variability (range, interquartile range, standard deviation), and identify the most applicable measure for a specific data collection.
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