Answer:
Mean = 9.8, Median = 10
Step-by-step explanation:
Given:
Each of 6 student reported the number of movies they saw the past year.
They reported :- 10, 5, 13, 4, 10, 17
We have to find the mean and median of movies that the students.
Solution:
As we know:
![Mean =\frac{Sum\ of\ observations}{Number\ of\ observations}](https://tex.z-dn.net/?f=Mean%20%3D%5Cfrac%7BSum%5C%20of%5C%20observations%7D%7BNumber%5C%20of%5C%20observations%7D)
![=\frac{10+5+13+4+10+17}{6} \\ \\ =\frac{59}{6} \\ \\= 9.8](https://tex.z-dn.net/?f=%3D%5Cfrac%7B10%2B5%2B13%2B4%2B10%2B17%7D%7B6%7D%20%5C%5C%20%5C%5C%20%3D%5Cfrac%7B59%7D%7B6%7D%20%5C%5C%20%5C%5C%3D%209.8)
Thus, mean of movies that the students saw is <u>9.8</u>.
Now,
To find median, we will firstly order these number in ascending order.
10, 5, 13, 4, 10, 17
4, 5, <u>10, 10</u>, 13, 17
![Median= (\frac{n+1}{2})th\ term](https://tex.z-dn.net/?f=Median%3D%20%20%28%5Cfrac%7Bn%2B1%7D%7B2%7D%29th%5C%20term)
![=\frac{6+1}{2} =\frac{7}{2} = 3.5](https://tex.z-dn.net/?f=%3D%5Cfrac%7B6%2B1%7D%7B2%7D%20%3D%5Cfrac%7B7%7D%7B2%7D%20%3D%203.5)
<u><em>Now, Median = 3rd number + 4th number </em></u>
<u><em> 2</em></u>
![=\frac{10+10}{2} \\ \\ =\frac{20}{2} \\ \\ =10](https://tex.z-dn.net/?f=%3D%5Cfrac%7B10%2B10%7D%7B2%7D%20%5C%5C%20%5C%5C%20%3D%5Cfrac%7B20%7D%7B2%7D%20%5C%5C%20%5C%5C%20%3D10)
Thus, median of movies that the students saw is <u>10</u>.