Question

Find the mean, median, mode, and range of this data: 49, 49, 54, 55, 52, 49, 55. If necessary, round to the nearest tenth.

Answer 1

Mean: 51.9
Median: 52
Mode: 49
Range: 6

Answer 2

Mean=51.86

Mode=49

Median=52

Range=6

Explanation:

We are given a data set:

49, 49, 54, 55, 52, 49, 55

We arrange this in ascending order:

49,49,49,52,54,55,55

Mean=sum of all the elements/number of elements

=49+49+49+52+54+55+55/7

Mean =51.86

Mode is that element of the data set which has highest frequency i.e. the element which comes most.

Hence, Mode=49

Median is the middle element of the data set arranged in ascending order.

Hence, Median=52

Range=highest element-lowest element

Hence, Range=55-49

Range=6