Chapter 0, Problem 30PO

To determine

To find:

The mean, median, mode, range, and standard deviation of each set.

Answer to Problem 30PO

  $1527.58$

Explanation of Solution

Given:

Running time in minutes for $17$ movies

Concept used:

The median is the middle number in a sorted ascending or descending list of numbers and more descriptive of that data set than the average.

The range is the difference between the highest and lowest value.

The variance is the average squared deviation from the mean.

The standard deviation is the average deviation from the mean.

Calculation:

Means of sets

  $\begin{array}{l}=\frac{95+102+148+\mathrm{.............}+129}{17}\\ =1527.58\end{array}$

The range is

  $148-90=58$

The median is the middle number

  $\begin{array}{l}90,92,95,99,102,103,104,107,109,109,110,110,111,124,129,140,148\\ M_d=109\end{array}$

The mode (the most frequent number)

  $\text{Mode}=109,110$