Question

a group of 7 students was asked, \how many hours did you watch television last week?\ here are their responses: 10, 19, 4, 11, 9, 19, 15. find the mean and median number of hours for these students. if necessary, round your answers to the nearest tenth. (a) mean: (square) hours (b) median: (square) hours

Explanation:

Step1: Calculate the Mean

To find the mean, we sum all the values and divide by the number of values. The values are 10, 19, 4, 11, 9, 19, 15. The sum is \(10 + 19 + 4 + 11 + 9 + 19 + 15 = 87\). There are 7 students, so the mean is \(\frac{87}{7} \approx 12.4\) (rounded to the nearest tenth).

Step2: Calculate the Median

First, we need to order the data from least to greatest: 4, 9, 10, 11, 15, 19, 19. There are 7 values, so the median is the middle value, which is the 4th value. The 4th value is 11.

Answer:

(a) Mean: \(12.4\) hours
(b) Median: \(11\) hours