Q: Which of the following is the correct formula for calculating the percentage change from an old value to a new value?

$\frac{\text{new value} - \text{old value}}{\text{old value}} \times 100\%$

Q: A company’s revenue grew from $50,000 to $65,000 in one year. What is the percentage increase in revenue?

$\frac{65,000 - 50,000}{50,000} \times 100\% = 30\%$

Q: A business invests $\$5,000$ at an annual interest rate of $4\%$ compounded annually. What will be the value after 3 years?

$5,000 \times (1 + 0.04)^3 = 5,624.32$

Q: A sequence is defined by $a_n = 2a_{n-1} + 3$, with $a_1 = 1$. What is $a_3$?

$a_2 = 2 \times 1 + 3 = 5$, $a_3 = 2 \times 5 + 3 = 13$

Question 1

A business analyst is evaluating the impact of a new marketing strategy. She wants to determine if there is a causal relationship between advertising spend and sales increase. Which of the following best describes the difference between correlation and causation in this context?

Accepted Answer

Correlation means there is a statistical association between advertising spend and sales increase, but causation means advertising spend is the direct reason for sales increase.

Question 2

A company wants to compare the average monthly sales of two products. The sales data for Product A are: $10,000, 12,000, 11,000, 13,000, 12,500$. What is the mean sales for Product A?

Accepted Answer

$\frac{10,000 + 12,000 + 11,000 + 13,000 + 12,500}{5} = 11,700$

Question 3

Which of the following statements about the normal distribution is correct?

Accepted Answer

The mean, median, and mode of a normal distribution are all equal.

Question 4

A student scored 1.5 standard deviations above the mean on a statistics exam. If the mean score is 70 and the standard deviation is 8, what was the student's score?

Accepted Answer

$70 + (1.5 	imes 8) = 82$

Question 5

A mortgage has an annual interest rate of 6\% compounded monthly. What is the monthly interest rate?

Accepted Answer

$\frac{6\%}{12} = 0.5\%$

Question 6

Which of the following is the correct formula for calculating the percentage change from an old value to a new value?

Accepted Answer

$\frac{	ext{new value} - 	ext{old value}}{	ext{old value}} 	imes 100\%$

Question 7

A business owner wants to visualize the distribution of monthly expenses. Which type of graph is most appropriate for showing the frequency of different expense categories?

Accepted Answer

Bar chart

Question 8

If the odds of winning a prize are 3 to 7, what is the probability of winning?

Accepted Answer

$\frac{3}{10}$

Question 9

A company’s revenue grew from $50,000 to $65,000 in one year. What is the percentage increase in revenue?

Accepted Answer

$\frac{65,000 - 50,000}{50,000} 	imes 100\% = 30\%$

Question 10

Which of the following is NOT a valid argument in logic?

Accepted Answer

If it rains, then the ground gets wet. The ground is wet. Therefore, it rained.

Question 11

A dataset has the following values: $2, 4, 4, 8, 10$. What is the median?

Accepted Answer

$4$

Question 12

Which formula correctly calculates the standard deviation for a sample of $n$ values $x_1, x_2, ..., x_n$ with mean $\bar{x}$?

Accepted Answer

$\sqrt{\frac{\sum_{i=1}^{n} (x_i - \bar{x})^2}{n-1}}$

Question 13

A business invests $\$5,000$ at an annual interest rate of $4\%$ compounded annually. What will be the value after 3 years?

Accepted Answer

$5,000 	imes (1 + 0.04)^3 = 5,624.32$

Question 14

Which of the following best describes a contrapositive statement?

Accepted Answer

If not Q, then not P.

Question 15

A company tracks the number of defective products each month: $3, 5, 2, 4, 6$. What is the mode?

Accepted Answer

There is no mode.

Question 16

Which of the following is the correct formula for simple interest?

Accepted Answer

$I = P 	imes r 	imes t$

Question 17

A business manager uses Excel to calculate the average sales for the last 12 months. Which Excel function should she use?

Accepted Answer

AVERAGE()

Question 18

A sequence is defined by $a_n = 2a_{n-1} + 3$, with $a_1 = 1$. What is $a_3$?

Accepted Answer

$a_2 = 2 	imes 1 + 3 = 5$, $a_3 = 2 	imes 5 + 3 = 13$

Question 19

A survey found that 60\% of customers prefer Product X, 30\% prefer Product Y, and 10\% prefer Product Z. If 200 customers were surveyed, how many preferred Product Y?

Accepted Answer

$200 	imes 0.3 = 60$

Statistics for Business: Course Syllabus Overview

Study Guide - Practice Questions

Study Guide - Flashcards