Question

a group of 6 students was asked, \how many hours did you watch television last week?\ here are their numbers: 11, 10, 19, 15, 20, 17. find the mean and median number of hours for these students. if necessary, round your answers to the nearest tenth. (a) mean: hours (b) median: hours

Explanation:

Step1: Calculate the sum of data

$11 + 10+19+15+20+17=92$

Step2: Calculate the mean

The mean $\bar{x}=\frac{\text{Sum of data}}{\text{Number of data points}}=\frac{92}{6}\approx15.3$

Step3: Arrange data in ascending order

$10, 11, 15, 17, 19, 20$

Step4: Calculate the median

Since there are 6 data - points (an even number), the median is the average of the two middle values. The two middle values are the 3rd and 4th values. Median $=\frac{15 + 17}{2}=16$

Answer:

(a) Mean: $15.3$ hours
(b) Median: $16$ hours