Asked by Mohammed Mizbah on Sep 23, 2024

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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 standard deviation.
D) both sets will have the same interquartile range.

Interquartile Range

The difference between the 75th and 25th percentiles of a data set, representing the middle 50% of values.

Range

The difference between the highest and lowest values in a data set, giving a measure of the data’s dispersion.

  • Differentiate between various measures of variability and their susceptibility to extreme values.
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YM
Youssef Mohamed Reda AbdElHamed AbdElHamed2 days ago
Final Answer :
A
Explanation :
Range is the difference between the largest and smallest observation in a data set. If two data sets have the same range, it means the distance between the smallest and largest observations is the same for both data sets. However, it does not imply that the smallest and largest observations are the same, or that the two sets have the same standard deviation or interquartile range.