Statistics Skills Assessment

What is the mean of the following set of numbers: 4, 8, 6, 5, 3?

• 5.2

• 4.5

• 6.0

• 5.0

Find the median of this data set: 12, 15, 11, 14, 13.

• 14

• 13

• 15

• 12

What is the mode of the numbers: 2, 3, 4, 4, 5, 5, 5, 6?

• 3

• 5

• 6

• 4

If the mean of a data set is 20 and there are 5 numbers, what is the total sum of the numbers?

• 100

• 40

• 80

• 60

Given the data set: 10, 20, 30, 40, 50, what is the range?

• 10

• 40

• 30

• 20

Interpret the following data set: 5, 7, 8, 10, 12. What can you say about the distribution?

• The distribution is positively skewed with a moderate spread.

• The distribution has no variation and is uniform.

• The distribution is negatively skewed with a wide spread.

• The distribution is normally distributed with a tight spread.

If the median of a data set is 25, what can you infer about the data?

• The average of the data set is 25.

• All data points are less than 25.

• There are no data points greater than 25.

• At least half of the data points are less than or equal to 25, and at least half are greater than or equal to 25.

How do you find the mean of a data set with an even number of values?

• Sum all values and divide by the number of values.

• Count the number of values and ignore the rest.

• Multiply all values and divide by two.

• Add the highest and lowest values only.

In a class of 30 students, the mode of their scores is 85. What does this indicate about the scores?

• At least several students scored 85, making it the most frequent score.

• All students scored 85, indicating a perfect score.

• The average score is 85, meaning all students performed equally.

• No students scored 85, as it is the lowest score.

What is the significance of the median in a skewed data set?

• The median is always equal to the mean in skewed data sets.

• The median is a better measure of central tendency in skewed data sets as it is not influenced by outliers.

• The median is not a valid measure of central tendency for any data set.

• The median is influenced by extreme values in the data set.