Question 1

Given the following frequency distribution for methods of commuting, what is the relative frequency for 'Bicycle' if the total number of employees is 450?

$$	ext{Frequency for Bicycle} = 10$$

$$	ext{Relative Frequency} = \frac{	ext{Frequency}}{	ext{Total}}$$

Accepted Answer

$$0.022$$

Question 2

Why is calculating relative frequency useful when comparing different data sets?

Accepted Answer

It normalizes the data for comparison.

Question 3

If the cumulative frequency for a class interval is 25 and the total number of observations is 50, what is the cumulative relative frequency?

Accepted Answer

$$0.50$$

Question 4

A frequency table for daily rainfall (in inches) is given. If 90% of the days had less than 3 inches of rain, what is the cumulative relative frequency for the class interval just below 3 inches?

Accepted Answer

$$0.90$$

Question 5

Given the data set: $$57, 206, 216, 420, 512, 613$$, what is the median?

Accepted Answer

$$318$$

Question 6

Calculate the factorial of 7 ($$7!).$$

Accepted Answer

$$5040$$

Question 7

How many combinations are there when choosing 3 books from a shelf of 8 books? Use the formula $$C(n, r) = \frac{n!}{r!(n-r)!}.$$

Accepted Answer

$$56$$

Question 8

A regression equation is given by $$y = 8500 + 75.6x_1 - 8.25x_2. $$What is the predicted value of $$y$$ when $$x_1 = 15$ and x_2$ = 30$$?

Accepted Answer

$$9203.5$$

Question 9

Which of the following best describes a stem-and-leaf plot?

Accepted Answer

It displays quantitative data to show the distribution and retain original values.

Question 10

If you have a permutation problem where you need to arrange 5 books on a shelf, how many possible arrangements are there? Use $$n!.$$

Accepted Answer

$$120$$

Question 11

Given the regression equation $$y = b_0$ + b_1x_1 + b_2x_2$$, what does $$b_2$$ represent?

Accepted Answer

The change in $$y$$ for a one-unit increase in $$x_2$$, holding $$x_1$$ constant.

Question 12

If the frequency for a class is 12 and the total number of observations is 60, what is the relative frequency?

Accepted Answer

$$0.20$$

Question 13

Which of the following is NOT a benefit of using cumulative frequency?

Accepted Answer

It identifies the mode of the data.

Question 14

If you want to find the number of ways to arrange 4 out of 7 objects, which formula should you use?

Accepted Answer

$$P(n, r) = \frac{n!}{(n-r)!}$$

Question 15

A manager uses the regression equation $$y = 8500 + 75.6x_1 - 8.25x_2 to $$predict ticket sales. If the average temperature increases by 1 degree, what is the expected change in ticket sales, holding $$x_1$$ constant?

Accepted Answer

Decrease by $$8.25$$ tickets

Statistics Review: Week 1 Study Guidance

Study Guide - Practice Questions

Study Guide - Flashcards