CSPA Statistics and Probability Questions and Answers

Question 1

A customer service representative handled the following number of calls over a five-day work week: 25, 30, 22, 28, and 30. What was the mean number of calls handled per day?

Accepted Answer

27

Answer

The mean is the sum of all values divided by the number of values. The sum of the calls is 25 + 30 + 22 + 28 + 30 = 135. There are 5 data points (days). The mean is 135 ÷ 5 = 27.

Question 2

A team consists of 7 members with the following ages: 24, 45, 28, 33, 28, 51, 38. What is the median age of the team members?

Accepted Answer

33

Answer

The median is the middle value in a data set when it is ordered from least to greatest. First, order the ages: 24, 28, 28, 33, 38, 45, 51. In this set of 7 numbers, the middle value is the 4th one, which is 33.

Question 3

A quality control inspector checks a batch of 200 light bulbs and finds that 8 are defective. If one light bulb is selected at random from the batch, what is the probability that it is defective?

Accepted Answer

4%

Answer

Probability is calculated by dividing the number of favorable outcomes (defective bulbs) by the total number of possible outcomes (all bulbs). Here, there are 8 defective bulbs and 200 total bulbs. The probability is 8/200. To express this as a percentage, simplify the fraction to 2/50 or 1/25, which is 0.04. Multiply by 100 to get 4%.

Question 4

A project manager for an outdoor construction site records the daily high temperatures (in Celsius) for a week. The recorded temperatures were: 15°C, 18°C, 12°C, 21°C, 20°C, 17°C, and 14°C. What is the range of these temperatures?

Accepted Answer

9°C

Answer

The range is the difference between the highest and lowest values in a data set. The highest temperature recorded is 21°C and the lowest is 12°C. The range is calculated as 21 - 12 = 9°C.

Question 5

Review the following sales data for a small business:
- January: $12,000
- February: $15,000
- March: $14,000
- April: $18,000

Which of the following statements is a correct interpretation of the data?

Accepted Answer

The largest month-over-month sales increase occurred between March and April.

Answer

To find the largest month-over-month increase, calculate the change for each period: Jan to Feb was a $3,000 increase. Feb to Mar was a $1,000 decrease. Mar to Apr was a $4,000 increase. The $4,000 increase between March and April was the largest. The other statements are incorrect.

CSPA - Core Skills Profile for Adults Practice Test

CSPA - Core Skills Profile for Adults Practice Test

CSPA Statistics and Probability Questions and Answers