Question

these data are the number of on - campus burglaries reported in a given year for nine western pennsylvania universities.
16 10 4 16 9 8 13 5 16
for the above data set, find the mean, median, midrange, and mode. round to one decimal place, if necessary.
part 1 of 4
(a) find the mean.
the mean is 10.8 burglaries.
part 2 of 4
(b) find the median.
the median is 10 burglaries.
part: 2 / 4
part 3 of 4
(c) find the midrange.
the midrange is burglaries.

Explanation:

Step1: Find the maximum and minimum values

The data set is \(16, 10, 4, 16, 9, 8, 13, 5, 16\).
The maximum value \(x_{max}=16\), the minimum value \(x_{min} = 4\).

Step2: Calculate the mid - range

The formula for the mid - range is \(MR=\frac{x_{max}+x_{min}}{2}\).
Substitute \(x_{max}=16\) and \(x_{min}=4\) into the formula: \(MR=\frac{16 + 4}{2}=\frac{20}{2}=10\).

Answer:

The midrange is \(10\) burglaries.