Question

6. A researcher gathered data on hours of video games played by school-aged children and young adults. She collected the following data.15998958671574321332317131201916116157912121131031115Find the mean number of hours played. Round your answer to the nearest tenth, if necessary. hoursFind the median number of hours played. hours

Answer 1

mean = 8.4

median = 9

Step-by-step explanation:

The mean is equal to the sum of all values divided by the total number of values. In this case, the sum of all values is:

15 + 9 + 9 + 8 + 9 + 5 + 8 + 6 + 7 + 15 + 7 + 4 + 3 + 2 + 13 + 3 + 2 + 3 + 17 + 13 + 12 + 0 + 1 + 9 + 16 + 11 + 6 + 15 + 7 + 9 + 12 + 12 + 11 + 3 + 10 + 3 + 11 + 15 = 321

Then, there are 38 values, so the mean is:

To find the median, we need to organize the data from smallest to greatest, so:

0 1 2 2 3 3 3 3 3 4 5 6 6 7 7 7 8 8 9 9 9 9 9 10 11 11 11 12 12 12 13 13 15 15 15 15 16 17

The median is the number that divides the data into two equal parts. In this case, the numbers in the middle are:

0 1 2 2 3 3 3 3 3 4 5 6 6 7 7 7 8 8 9 9 9 9 9 10 11 11 11 12 12 12 13 13 15 15 15 15 16 17

Because there are 18 numbers before 9 and 18 numbers after 9. Since both numbers are 9, the median is 9.