Question

25. A group of students were asked how many movies they had watched the previous week. The results are shown below. Number of Movies Frequency 0 8 1 8 2 5 3 5 4 7 Find the mean and median for the number of movies watched per student. Round your answers to the nearest hundredth. Mean = Median =

Answer 1

mean = 1.85

median = 2.00

Step-by-step explanation:

To find the mean of a data that has frequency:

`\text{mean = }\frac{\sum ^{}_{}fx}{\sum ^{}_{}f}`
`\begin{gathered} \sum ^{}_{}fx\text{ = product of the numbers and their frequency} \\ \sum ^{}_{}fx\text{ = (0}*8)\text{ + (1}*8)\text{ + (2}*5)\text{ + (3}*5)\text{ + (4}*7) \\ \sum ^{}_{}fx\text{ =}0\text{ + 8 + 10 + 15 + 28} \\ \sum ^{}_{}fx\text{ = 61} \end{gathered}`

To get the median, we need the numbers in ascending order. Since the number is in ascending order in the table, we find the middle of the frequency:

frequency = 33

middle of 33 numbers = 16.5

8 + 8 = 16 (so it can't fall under 0 or 1). it has to be the next number

Frequency of 16.5 will fall under the 2 as it is the number next in line

To the nearest hundredth, median = 2.00