Question

Each of 8 students reported the number of movies they saw in the past year. This is what they reported: 4, 14, 16, 4, 20, 19, 12, 10 Find the mean and median number of movies that the students saw. If necessary, round your answers to the nearest tenth.

Answer 1

the mean is simply the average of the total movies seen so..

`(4 + 14 + 16 + 4 + 20 + 19 + 12 + 10)/(2) = mean`

`(99)/(2) = mean`

`49.5 = mean`

the median is the middle number (or the average of the middle 2 numbers)
so if we line up the numbers in order and cross them out from both ends we get 12 & 14 so we take the average of the 2

`13 = median`

Answer 2

Answer: Mean = 12.4 and Median = 13

Explanation:

The given data : 4, 14, 16, 4, 20, 19, 12, 10

`\text{Mean}=\frac{\text{sum of data values}}{\text{Number of data values}}\\\\=(4+14+16+4+20+19+12+10)/(8)\\\\=(99)/(8)=12.375\approx12.4`

For , Median we first arrange data in order : 4, 4, 10, 12, 14, 16, 19, 20

Since the number of data values is even =8

So the Median =
`\frac{(8)/(2)^(th)\text{term}+((8)/(2)+1)^(th)term}{2}`

`=\frac{4^(th)\text{ term}+5^(th)\text{ term}}{2}\\\\=(12+14)/(2)=13`