Question

a group of 7 students was asked, \how many hours did you watch television last week?\ here are their responses.
19, 6, 16, 5, 15, 19, 6
find the median and mean number of hours for these students.
if necessary, round your answers to the nearest tenth.
(a) median:
hours
(b) mean:
hours

Explanation:

Step1: Find the median

First, we need to sort the data in ascending order. The data is \(19, 6, 16, 5, 15, 19, 6\). After sorting, we get \(5, 6, 6, 15, 16, 19, 19\). Since there are 7 data points (an odd number), the median is the middle value, which is the 4th value. So the median is \(15\).

Step2: Find the mean

The mean is calculated by summing all the data points and dividing by the number of data points. The sum of the data points is \(19 + 6 + 16 + 5 + 15 + 19 + 6\). Let's calculate that: \(19+6 = 25\), \(25+16 = 41\), \(41+5 = 46\), \(46+15 = 61\), \(61+19 = 80\), \(80+6 = 86\). There are 7 data points, so the mean is \(\frac{86}{7}\approx12.3\) (rounded to the nearest tenth).

Answer:

(a) Median: \(15\) hours
(b) Mean: \(12.3\) hours