Question

Find the mean, median, mode, and range for each of the following sets of numbers

(31,74,27,58,65,27,35)

Answer 1

The mean -
`45(2)/(7);` the median - 35, the mode - 27, the range - 47.

Explanation:

Arrange the set of data (31,74,27,58,65,27,35) in ascending order:

27, 27, 31, 35, 58, 65, 74.

The mean is the usual average, so add aal numbers and then divide by the number of numbers:

`(27+27+31+35+58+65+74)/(7)=(317)/(7)=45(2)/(7).`

The median is the middle value. The middle value in the row 27, 27, 31, 35, 58, 65, 74 is 35.

The mode is the number that is repeated more often than any other, so 27 is the mode.

The largest value in the set is 74, and the smallest is 27, so the range is 74 – 27 = 47.