Question

A group of 6 students was asked, "How many hours did you watch television last week?" Here are their responses: 19, 9, 18, 16, 14, 19 Find the mean and median number of hours for these students.

Answer 1

Answer:

(a) The average television hours for the six students in the previous week    was 15.83 Hours.

(b) The median number of hours would be 17 Hours

Step-by-step explanation:

Mean

The mean of a group of numbers is the average of the numbers. The mean can be gotten with the expression in equation 1.

Mean = Σx / n ...............1

Where Σx is the sum of the numbers

n is the number of values

Substituting our values into equation 1 we have;

Mean = (19+9+18+ 16+14+19) ÷ 6

Mean = 95 ÷ 6

= 15.83 Hours

Therefore the average television hours for the six students in the previous week were 15.83 Hours.

Median

The median of a group of numbers is the middle term of the numbers when arranged in ascending or descending order.

Given the television hours of the six students, we have;

19, 9, 18, 16, 14, 19

We arrange the numbers in ascending order from the smallest to the biggest;

9, 14, 16, 18, 19, 19

Since the number of value is even the median would be obtained by finding the mean of the two middle terms.

From our arranged data, 9, 14, 16, 18, 19, 19

the two middle numbers are 16, 18

Therefore the mean would be

(16+18) /2

=34/2

= 17 hours

Thus the median number of hours would be 17 Hours

Answer 2

Answer:

Mean =          15.83 hours

Median =  17 hours

Step-by-step explanation:

The first step to follow when dealing with data distributions is to arrange the data in either an ascending or descending order.

Once this is done, we have the responses as

responses: 9. 14, 16, 18, 19, 19

The mean of the distribution can be obtained by dividing the total sum of the values, by the number of respondents.

this is $9 +14 + 19 + 18 + 16 + 14 + 19/ 6= 95/6 = 15.83$

The mean of the distribution is 15.83 hours

The median is obtained by picking out the middle number of the distribution.  However, our distribution is even, and hence has two middle numbers. To solve this , we simply add the two numbers and divide by 2

= (16 + 18 )/2 = 34/2 = 17