A local doctor’s office logged the number of patients seen in one day by the doctor for ten days. Find the mean, median, range, and midrange of the number of patients seen in ten days.
27 31 27 35 35 25 28 35 33 24
Calculate the mean, median, range, and midrange of the number of patients seen in ten days.
A)Mean, 11; Median, 29.5; Range, 30; Midrange, 29.5
B)Mean, 30; Median, 29.5; Range, 11; Midrange, 29.5
C)Mean, 29.5; Median, 11; Range, 29.5; Midrange, 30
D)Mean, 29.5; Median, 11; Range, 29.5; Midrange, 11
To find the mean, we add up all the numbers and divide by the total number of days:
Mean = (27 + 31 + 27 + 35 + 35 + 25 + 28 + 35 + 33 + 24) / 10 = 300 / 10 = 30
To find the median, we arrange the numbers in order from least to greatest and find the middle value.
Arranged in order: 24, 25, 27, 27, 28, 31, 33, 35, 35, 35
Median = (28 + 31) / 2 = 59 / 2 = 29.5
To find the range, we subtract the smallest value from the largest value:
Range = 35 - 24 = 11
To find the midrange, we add the smallest value to the largest value, and divide by 2:
Midrange = (24 + 35) / 2 = 59 / 2 = 29.5
Therefore, the correct answer is:
B) Mean, 30; Median, 29.5; Range, 11; Midrange, 29.5