Problem

Which of the following does NOT reveal the variation (spread) of the data? Check all that apply.
Range
Median
Mode
Mean
Standard Deviation

Answer

Expert–verified
Hide Steps
Answer

Final Answer: The measures that do not reveal the variation of the data are \(\boxed{\text{Median, Mode, and Mean}}\).

Steps

Step 1 :The variation or spread of a data set refers to the extent to which the data points in the set diverge from the average value. The measures that reveal the spread of the data include range and standard deviation.

Step 2 :The range is the difference between the highest and lowest values in the data set, and it gives an idea of how spread out the values are.

Step 3 :The standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

Step 4 :On the other hand, the median, mode, and mean are measures of central tendency, not variation. They provide information about the center of the data set, but not about how spread out the data points are.

Step 5 :Therefore, the measures that do not reveal the variation of the data are the median, mode, and mean.

Step 6 :Final Answer: The measures that do not reveal the variation of the data are \(\boxed{\text{Median, Mode, and Mean}}\).

link_gpt