QuestionWhich of the following does not reveal the variation (spread) of the data? the 5 number summary the range standard deviation the median all of the above show spread Check Answer
Studdy Solution
STEP 1
1. We are given multiple statistical measures and need to determine which one does not indicate the variation or spread of data.
2. Understanding of statistical terms such as 5 number summary, range, standard deviation, and median is assumed.
STEP 2
1. Define each statistical measure.
2. Determine which measure does not indicate data spread.
STEP 3
Define the 5 number summary:
The 5 number summary consists of the minimum, first quartile (Q1), median, third quartile (Q3), and maximum. It provides a quick overview of the data's distribution and spread.
STEP 4
Define the range:
The range is the difference between the maximum and minimum values in a dataset. It directly measures the spread of the data.
STEP 5
Define standard deviation:
Standard deviation quantifies the amount of variation or dispersion in a set of data values. A low standard deviation means that the data points tend to be close to the mean, while a high standard deviation indicates that the data points are spread out over a wider range of values.
STEP 6
Define the median:
The median is the middle value of a dataset when it is ordered. It represents the center of the data but does not provide information about the spread of the data.
STEP 7
Determine which measure does not indicate data spread:
The median does not reveal the variation or spread of the data. It only indicates the central tendency.
The measure that does not reveal the variation (spread) of the data is:
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