Question
Your friend, find the main 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? If not, find the correct answer
Answers
Answered by
GPT 3.5
To find the mean, we first need to add up all the numbers in the data set:
40 + 38 + 62 + 70 + 56 + 41 + 58 + 48 + 60 + 45 = 518
Next, we divide the sum by the total number of values in the data set which is 10:
518 / 10 = 51.8
Therefore, the correct mean is 51.8, not 52.
To find the median, we first need to arrange the data set in numerical order:
38, 40, 41, 45, 48, 56, 58, 60, 62, 70
The median is the middle value when the data set is listed in numerical order. Since there are 10 numbers in the data set, the median will be the average of the 5th and 6th numbers:
(48 + 56) / 2 = 52
Therefore, the correct median is 52.
Your friend was correct about the median but incorrect about the mean.
40 + 38 + 62 + 70 + 56 + 41 + 58 + 48 + 60 + 45 = 518
Next, we divide the sum by the total number of values in the data set which is 10:
518 / 10 = 51.8
Therefore, the correct mean is 51.8, not 52.
To find the median, we first need to arrange the data set in numerical order:
38, 40, 41, 45, 48, 56, 58, 60, 62, 70
The median is the middle value when the data set is listed in numerical order. Since there are 10 numbers in the data set, the median will be the average of the 5th and 6th numbers:
(48 + 56) / 2 = 52
Therefore, the correct median is 52.
Your friend was correct about the median but incorrect about the mean.