Question

These data are the number of on campus burglaries reported in a given year for nine western Pennsylvania universities.15 11 4 15 9 7 12 5 15For the data find the mean median mid range in the mall round to one decimal place if necessary.

Answer 1

Recall how to find the mean, the median, the midrange and the mode of a data set.

To find the mean, add all the values and divide the result over the amount of values:

`(15+11+4+15+9+7+12+5+15)/(9)=(93)/(9)=10.333...\approx10.3`

To find the median, list the data from smallest to largest and identify the number that is placed at the middle of the list. If the number of data points is even, the median is the average of the two middle data points in the list:

`4,5,7,9,11,12,15,15,15`

In this case, the median is 11 because there are 4 numbers before it and 4 numbers after it.

To find the midrange, calculate the mean between the minimum and maximum numbers of the data set:

`(4+15)/(2)=9.5`

The mode is the value that appears most frequently in the data set. In this case, the number 15 appears three times and the rest just 1. Then, the mode is 15.

Therefore, the answers are:

Mean: 10.3

Median: 11

Midrange: 9.5

Mode: 15