KYOTE Statistics and Probability

Question 1

A student scored 72, 85, 90, 68, and 95 on five tests. What is the mean score?

Accepted Answer

82

Answer

The mean is calculated by adding all scores (72+85+90+68+95=410) and dividing by 5, giving 82.

Question 2

What is the median of the data set: 14, 7, 21, 3, 18?

Accepted Answer

14

Answer

When arranged in order (3, 7, 14, 18, 21), the middle value is 14.

Question 3

In the data set {4, 7, 7, 9, 12, 7, 3}, what is the mode?

Accepted Answer

7

Answer

The mode is 7 because it appears three times, more than any other value in the set.

Question 4

The high temperatures for a week were 78, 82, 75, 90, 83, 79, and 85°F. What is the range?

Accepted Answer

15

Answer

The range is the difference between the highest and lowest values: 90 − 75 = 15.

Question 5

A bag contains 5 red, 3 blue, and 2 green marbles. What is the probability of randomly selecting a blue marble?

Accepted Answer

3/10

Answer

There are 3 blue marbles out of 10 total, so the probability is 3/10.

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