Question

each of 5 students reported the number of movies they saw in the past year. this is what they reported.
6, 13, 9, 14, 17
find the mean and median number of movies that the students saw.
if necessary, round your answers to the nearest tenth.
(a) mean: \\(\square\\) movies
(b) median: \\(\square\\) movies

Explanation:

Step1: Calculate the Mean

To find the mean, we sum all the values and divide by the number of values. The values are 6, 13, 9, 14, 17. The sum is \(6 + 13 + 9 + 14 + 17 = 6 + 13 = 19; 19 + 9 = 28; 28 + 14 = 42; 42 + 17 = 59\). There are 5 values, so the mean is \(\frac{59}{5} = 11.8\).

Step2: Calculate the Median

First, we order the data set: 6, 9, 13, 14, 17. Since there are 5 (an odd number) values, the median is the middle value, which is the 3rd value. The 3rd value is 13.

Answer:

(a) Mean: \(11.8\) movies
(b) Median: \(13\) movies