Question

) As a rule of thumb, the entire range of a data large data set is approximately 4 to 6 standard deviations. Estimate the range of the standard deviation for the exam scores, using this information and the information in this problem. (Round your answers to two decimal places, if necessary.)

the test scores ranged from 30 to 80

Answer 1

Here it is given that, for large data sets, range of data,r = 4 or 6 times the standard deviation (sd).

That is r= 4sd or 6sd.

That is sd = r/4 or r/6.

So, given the value of r, the interval of possible values of sd is : (r/6,r/4)

Here the test scores range from 30 to 80. Hence range,r= 80-30=50

So the interval of possible values of sd =( 50/6,50/4)

= (8.33,12.5)

Answer: estimated range of the standard deviation for test scores is 8.33 to 12.5.

(Input 8.33 in first box and 12.5 in the 2nd box)

Hope the solution helps. Thank you.

(Please comment if you need any further help)