Compare data set A and data set B.
Set A: mean = 42.5, standard deviation = 0.7
Set B: mean = 42.5, standard deviation = 14.7

A.) Not enough information is given.
B.) Both sets have basically the same data.
C.) Set B has a larger spread of data.
D.) Set A has a larger spread of data.

Answer:

C.) Set B has a larger spread of data.

Step-by-step explanation:

The correct statement is  Set B has a larger spread of data.

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.

Given:

Set A: mean = 42.5, standard deviation = 0.7

Set B: mean = 42.5, standard deviation = 14.7

As, we know the standard deviation reveals the degree of data skewedness. It gauges how far away from the mean each observed value is. Approximately 95% of values in any distribution will be within two standard deviations of the mean.

According to given data the set B have higher standard deviation than set A which shows that the data of set B have large spreadness than set A,

Learn more about standard deviation here:

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