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..
$\frac{4 + 14 + 16 + 4 + 20 + 19 + 12 + 10}{2} = mean$
$\frac{99}{2} = mean$
$49.5 = mean$

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

Step-by-step explanation:

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

$\text{Mean}=\dfrac{\text{sum of data values}}{\text{Number of data values}}\\\\=\dfrac{4+14+16+4+20+19+12+10}{8}\\\\=\dfrac{99}{8}=12.375\approx12.4$

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 =$\dfrac{\dfrac{8}{2}^{th}\text{term}+(\dfrac{8}{2}+1)^{th}term}{2}$

$=\dfrac{4^{th}\text{ term}+5^{th}\text{ term}}{2}\\\\=\dfrac{12+14}{2}=13$