Question

The given data shows monthly cell phone bills for the last year.

$71, $66, $81, $53, $64, $71, $68, $45, $50, $61, $63, $75
Select the option that shows the correct mean, median, and mode.
a.) mean: $64 median: $65 mode: $71
b.) mean: $63 median: $64 mode: $81
c.) mean: $63 median: $69.5 mode: $81
d.) mean: $64 median: $66 mode: $71

Answer 1

The mean, median, and mode for the given data are mean: $63.25, median: $66, mode: $71. The correct answer is d.) mean: $64 median: $66 mode: $71.

Step-by-step explanation:

The mean of the given data is calculated by summing up all the numbers and then dividing by the total count. Adding up the numbers: 71 + 66 + 81 + 53 + 64 + 71 + 68 + 45 + 50 + 61 + 63 + 75 = 759. Dividing by the total count, which is 12, we get a mean of $63.25.

The median is the middle value of a set of data when it is arranged in ascending or descending order. Arranging the data in ascending order: 45, 50, 53, 61, 63, 64, 66, 68, 71, 71, 75, 81. The median is the number in the middle, which is 66.

The mode is the value that appears most frequently in a set of data. In this case, the mode is $71 because it appears twice, while no other value appears more than once.

So, the correct option is d.) mean: $63.25, median: $66, mode: $71.