a group of 7 students was asked, \how many hours did you watch television last week?\ here are their…

a group of 7 students was asked, \how many hours did you watch television last week?\ here are their responses. 19, 20, 10, 16, 15, 19, 8. 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

a group of 7 students was asked, \how many hours did you watch television last week?\ here are their responses. 19, 20, 10, 16, 15, 19, 8. 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

Answer

Explanation:

Step1: Calculate the sum of data

$19 + 20+10 + 16+15+19+8=107$

Step2: Calculate the mean

The mean $\bar{x}=\frac{\text{Sum of data}}{\text{Number of data points}}$. Here, the number of data - points $n = 7$. So, $\bar{x}=\frac{107}{7}\approx15.3$

Step3: Arrange data in ascending order

$8,10,15,16,19,19,20$

Step4: Find the median

Since $n = 7$ (an odd number), the median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{7+1}{2}=4$-th value. So the median is $16$.

Answer:

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