The best basketball player on a college team kept track of the number of baskets she made in her last eight games.
11 15 19 12 11 16 11 17
Calculate the mean, median, range, and midrange of the number of baskets she made in her last eight games.
A) Mean, 8; Median, 15; Range, 14; Midrange, 13.5
B) Mean, 15; Median, 14; Range, 13.5; Midrange, 8
C) Mean, 14; Median, 13.5 Range, 8; Midrange, 15
D) Mean, 13.5; Median, 8; Range, 15; Midrange, 14
To find the mean, we add up all the numbers and divide by the total amount of numbers:
11 + 15 + 19 + 12 + 11 + 16 + 11 + 17 = 112
112/8 = 14
So the mean is 14.
To find the median, we first need to arrange the numbers in order from least to greatest:
11, 11, 11, 12, 15, 16, 17, 19
Since there are eight numbers, the median is the average of the two middle numbers, which are 12 and 15:
(12 + 15)/2 = 27/2 = 13.5
So the median is 13.5.
To find the range, we subtract the smallest number from the largest number:
19 - 11 = 8
So the range is 8.
To find the midrange, we add the smallest number to the largest number and divide by 2:
(11 + 19)/2 = 30/2 = 15
So the midrange is 15.
Therefore, the correct answer is C) Mean, 14; Median, 13.5; Range, 8; Midrange, 15.