Question

he following table gives the frequency distribution of the total miles
driven during 2015 by a sample of 92 car owners.
Miles Driven (in thousand) Frequency
0 to less than 5 7
5 to less than 10 26
10 to less than 15 59
(a) (3 points) Write down the columns that show the values for m, mf
and m2
f. Then compute the sample mean and the sample standard
deviation for the given data.

Answer 1

Solution:

Part a) Write down the columns that show the values for m, mf and m²f.

Then compute the sample mean and the sample standard deviation for the given data.

Formula:

Mean :

Standard Deviation:

To get m_i = mid-point values, we add both lower and upper limits of class and divide it by 2

For example: (0+5)/2=5/2=2.5

Miles driven (in thousand)	fi: frequency	mi	mifi	mi2*fi
0--5	7	2.5	17.5	43.75
5--10	26	7.5	195	1462.5
10--15	59	12.5	737.5	9218.75
	N = 92

Thus

Mean :

Standard Deviation:

_{(Round final answer to specified number of decimal places)}