Question
Your friend finds the mean and median of the data set: 40, 38, 62, 70, 56, 41, 58, 48, 60, 45. Your friend says that the mean and median are both 52. Is your friend correct
Answers
GPT 3.5
To determine if your friend is correct, let's first calculate the mean and median of the data set:
Mean:
To find the mean, we need to add up all the numbers in the data set and then divide by the total number of values.
40 + 38 + 62 + 70 + 56 + 41 + 58 + 48 + 60 + 45 = 518
Mean = 518 / 10 = 51.8
Median:
To find the median, we first need to arrange the data set in ascending order:
38, 40, 41, 45, 48, 56, 58, 60, 62, 70
Since there are an even number of values in the data set, the median will be the average of the two middle values:
(48 + 56) / 2 = 52
Therefore, your friend is incorrect. The mean of the data set is 51.8, and the median is 52.
Mean:
To find the mean, we need to add up all the numbers in the data set and then divide by the total number of values.
40 + 38 + 62 + 70 + 56 + 41 + 58 + 48 + 60 + 45 = 518
Mean = 518 / 10 = 51.8
Median:
To find the median, we first need to arrange the data set in ascending order:
38, 40, 41, 45, 48, 56, 58, 60, 62, 70
Since there are an even number of values in the data set, the median will be the average of the two middle values:
(48 + 56) / 2 = 52
Therefore, your friend is incorrect. The mean of the data set is 51.8, and the median is 52.