Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 7 of 20 the standard deviation of the distribution of house ag…

Question

question 7 of 20
the standard deviation of the distribution of house age is about 16 years. interpret this value.
the gap between the first quartile and the third quartile is 16 years.
the age of all the houses in the sample is 16 years from the mean.
the age of all houses in the sample is within 16 years of the mean.
the age of the houses in the sample typically varies by about 16 years from the mean age.

Explanation:

Brief Explanations

The standard deviation measures the amount of variation or dispersion of a set of values. A standard - deviation of 16 years for house ages means that, on average, the ages of houses in the sample deviate from the mean age by about 16 years. It is not the gap between quartiles (that's the inter - quartile range), and not all house ages are exactly 16 years from the mean (some may be closer, some may be further).

Answer:

The age of the houses in the sample typically varies by about 16 years from the mean age.