Question

An intelligence test was recently administered to a group of 10 people. Their respective completion times (in minutes) were as follows: 43, 45, 43, 26, 32, 34, 28, 43, 29, 36.

a) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place.
b) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place.
a. Median: 32.8, Mean: 35.9
b. Median: 33.5, Mean: 34.1
c. Median: 34.0, Mean: 34.8
d. Median: 34.5, Mean: 36.4

Answer 1

The median of the data set is 34.0 minutes, and the mean is 35.9 minutes.

Step-by-step explanation:

The median of the data set is 34.0 minutes. The median is the middle value in a data set when it is ordered from least to greatest. In this case, we have 10 data points. To find the median, we need to organize the data in ascending order: 26, 28, 29, 32, 34, 36, 43, 43, 43, 45. The middle value is 34, so the median is 34.0 minutes.

The mean of the data set is 35.9 minutes. The mean is calculated by summing up all the values and dividing by the total number of values. In this case, we sum up the 10 values: 43+45+43+26+32+34+28+43+29+36 = 361. Then, we divide by 10 to get the mean: 361/10 = 36.1 (rounded to one decimal place), which is 35.9 minutes.