Asked by ruben begazo on Jul 12, 2024

verifed

Verified

If two data sets have the same range:

A) the distances from the smallest to largest observations in both sets will be the same
B) the smallest and largest observations are the same in both sets
C) both sets will have the same variance
D) both sets will have the same interquartile range
E) both sets will have the same mean

Interquartile Range

A measure of statistical variability, representing the difference between the 75th (upper quartile) and 25th (lower quartile) percentiles.

Variance

A gauge for the extent of dispersion in a collection of data, derived by the average of squared differences relative to the mean.

  • Gain familiarity with the procedures for determining and the outcomes associated with measures of central tendency and variability.
verifed

Verified Answer

JB
Joseph BianchiJul 14, 2024
Final Answer :
A
Explanation :
The range is determined by the difference between the smallest and largest observations. If two data sets have the same range, it means that the distances from the smallest to largest observations in both sets will be the same. However, this does not necessarily mean that the smallest and largest observations are the same, or that the sets have the same variance, interquartile range, or mean.