Question

19 18 23 24 31 32 16 what is the median of this data set

Answer 1

Step-by-step explanation: 23 is the median of the data set because it's the number in the middle.

Median: 16, 18, 19,23, 24, 31, 32

Mean: 16+18+19+23+24+31+32= 163 then divide by how many numbers you added by 163 divided by 7 equals 23.28571429. I'll just simplify it to 23.29 or rounding to tenths 23.3.

Answer 2

Median = 23

Mean = 163/7 = 23.3 (1 d.p.)

Explanation:

Given data set:

19, 18, 23, 24, 31, 32, 16

Median

The middle value when all data values are placed in order of size.

Given data values in size order, from smallest to largest:

`\sf 16, 18, 19, \boxed{\sf 23}, 24, 31, 32`

The middle value is 23, so the median of this data set is 23.

Mean

The sum of all data values divided by the total number of data values.

`\begin{aligned}\implies \sf mean & =\sf (19+18+23+24+31+32+16)/(7)\\& = \sf (163)/(7)\\ & = \sf 23.28571429...\\ & = \sf 23.3\:(1\:d.p.)\end{aligned}`