Question

The Australian Automobile Association wants to estimate the amount of money spent annually by all its members for transportation costs.

A sample of 25 members reported the following dollar amounts for transportation costs last year:

744	719	763	739	766	706	720	703	695	705	713	757	771
756	752	708	748	747	722	688	758	710	706	685	714

(Round your answers to 2 decimal places.)

Find the point estimate for the population mean, the point estimate for the population median, and the point estimate for the population mode.

Mean: …..?

Median:…..?

Mode:……?

Answer 1

Mean = (744 + 719 + 763 + 739 + 766 + 706 + 720 + 703 + 695 + 705 + 713 + 757 + 771 + 756 + 752 + 708 + 748 + 747 + 722 + 688 + 758 + 710 + 706 + 685 + 714) / 25

= 727.8

The data in ascending order is,

685 688 695 703 705 706 706 708 710 713 714 719 720 722 739 744 747 748 752 756 757 758 763 766 771

For n = 25 (odd), the median is (n+1)/2 = (25+1)/2 = 13th element which is 720

Median = 720

Mode is the data value with the highest frequency. The value with highest frequency is 706

Mode = 706