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A distribution of numbers has the following five-number summary:


10.0, 15.0, 30.9, 50.0, 63.7


True or False? These numbers can be used to calculate the standard deviation of the distribution. ...?

Verified Answer :

Edufirst

False.

To determine the standard deviation (and the same is true for the mean) you need to know how many times each number was repeated.

Answer:

False

Step-by-step explanation:

A five number summary consists of these five statistics: the minimum value, the first quartile, the median, the third quartile, and the maximum value of a set of numbers

A standard deviation is  a measure that is used to quantify the amount of variation or dispersion of a set of data values.

Std deviation is the square root of variance

Variance is the average of squares of deviations of each entry from the mean.

Hence from five point summary, we cannot calculated standard deviation of the distribution

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