your friend finds the mean,median, and mode 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 answer.

Answer 1

To determine if your friend is correct, we need to calculate the mean, median, and mode of the data set provided.

Mean:
To find the mean, we add up all the numbers and divide by the total count of numbers.
Mean = (40+38+62+70+56+41+58+48+60+45) / 10
Mean = 518 / 10
Mean = 51.8

Median:
To find the median, we first need to order the numbers from smallest to largest.
38, 40, 41, 45, 48, 56, 58, 60, 62, 70
Since there are 10 numbers, the median will be the average of the two middle numbers.
Median = (48+56) / 2
Median = 104 / 2
Median = 52

Mode:
The mode is the number that appears most frequently in the data set.
In this case, there is no number that appears more than once, so there is no mode.

Based on our calculations, the mean is 51.8 and the median is 52. Therefore, your friend is incorrect in stating that both the mean and median are 52. It should be noted that the mean and median are very close in this data set, but they are not equal.