Asked by Alysha Brown on Apr 23, 2024
Verified
If two groups of numbers have the same mean, then
A) their standard deviations must also be equal.
B) their medians must also be equal.
C) their modes must also be equal.
D) other measures of location need not be the same.
Standard Deviations
A measure of the dispersion or spread of a set of numbers, showing how much variation exists from the average.
Measures Of Location
Statistical metrics that indicate the central or typical value within a data set, including mean, median, and mode among others.
- Familiarize with and explicate the different measures of central tendency (mean, median, mode) and their relevance in practical scenarios.
Verified Answer
CH
Chris Hicks7 days ago
Final Answer :
D
Explanation :
The mean is a measure of central tendency, but it does not provide information about the spread or other measures of location, such as the median or mode. Therefore, it is possible for two groups of numbers with the same mean to have different standard deviations, medians, or modes.
Learning Objectives
- Familiarize with and explicate the different measures of central tendency (mean, median, mode) and their relevance in practical scenarios.