Question

A local doctor’s office logged the number of patients seen in one day by the doctor for 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, 29.5; Median, 30; Range, 29.5; Midrange, 11
c. Mean, 29.5; Median, 11; Range, 29.5; Midrange, 30
d. Mean, 30; Median, 29.5; Range, 11; Midrange, 29.5

Answer 1

The mean of the number of patients seen in ten days is 31, the median is 31, the range is 11, and the midrange is 29.5.

Step-by-step explanation:

To find the mean, add up all the values and divide by the number of values. In this case, the sum of the number of patients seen in ten days is 27 + 31 + 27 + 35 + 35 + 25 + 28 + 35 + 33 + 24 = 310. Dividing by 10, we get a mean of 31.

To find the median, arrange the values in ascending order and find the value in the middle. In this case, the values in ascending order are 24, 25, 27, 27, 28, 31, 33, 35, 35, 35. The median is the middle value, which is 31.

To find the range, subtract the smallest value from the largest value. In this case, the smallest value is 24 and the largest value is 35. So the range is 35 - 24 = 11.

To find the midrange, add the smallest value to the largest value and divide by 2. In this case, the smallest value is 24 and the largest value is 35. So the midrange is (24 + 35) / 2 = 29.5.