Question

a hotel records number of bacant rooms they have over a period of 11 nights6 5 8 3 7 3 2 10 9 1 7 find the median , range , mean

Answer 1

We have the record of vacant rooms over a period of 11 nights, write in order:

1

2

3

3

5

6

7

7

8

9

10

a) We can find the median by looking at the number of vacant rooms in the period (11), and realizing that the median would be in the exactly medium point of this ordered data.

Then we can conclude the median is 6.

b) We can easily find the range too by looking at our data, we write as the interval between the smallest number and the largest:

The range is [1,10]

c) We can find the mean with the formula, which consists in add all the data and dividing it result by the number of data:

`mean=(1+2+(2\ast3)+5+6+(2\ast7)+8+9+10)/(11)=(61)/(11)\approx5.55`

Then the mean is 5.55