Here's a 5-item quiz on calculating the mean, variance, and standard deviation of a set of data. After each problem, you can calculate the mean, variance, and standard deviation for practice.

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Quiz: Finding Mean, Variance, and Standard Deviation

1.
The following data set represents the scores of 7 students on a math exam:
45, 50, 60, 55, 65, 70, 75

• Find the mean, variance, and standard deviation of the data.

2.
The number of books read by a group of 5 people in a month is as follows:
3, 7, 9, 12, 5

• Calculate the mean, variance, and standard deviation of the number of books read.

3.
Consider the daily temperatures (in Celsius) for a week:
20, 22, 25, 23, 21, 19, 24

• Compute the mean, variance, and standard deviation of the temperatures.

4.
A company tracks the number of products sold by 6 employees in a week:
14, 20, 19, 22, 18, 24

• Find the mean, variance, and standard deviation of the number of products sold.

5.
A student tracks the number of hours they study each day for a week:
2, 3, 4, 3, 5, 2, 6

• Calculate the mean, variance, and standard deviation of the hours studied.

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Tip:

For variance and standard deviation, remember that:

• Variance measures how spread out the values are around the mean.
• Standard deviation is simply the square root of the variance, giving you a measure of spread in the same units as the data.

Would you like to go over the answers for any of these problems or need help with the solution steps?