Question

The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mean of 482 and a standard deviation of 31. According to the standard deviation rule, approximately 95% of the students spent between ___ $ and _____$ on textbooks in a semester.

Answer 1

Answer: Approximately 95% of the students spent between $ 420 and $ 544  on textbooks in a semester.

Step-by-step explanation:

When data is normally distributed,

Then , according to the Empirical rule , approximately 95% of the data lies with in the 2 standard deviations from mean.

Given : The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with

Mean = 482     standard deviation =  31.

Then ,  by

Empirical rule , approximately 95% of the students spent between Mean ± 2 (Standard deviation) on textbooks in a semester.

where , Mean ± 2 (Standard deviation) = 482 ±  2(31)

=(482-2(31) , 482+2(31))

=(420  , 544)

Hence ,  Approximately 95% of the students spent between $ 420 and $ 544  on textbooks in a semester.