KYOTE Statistics and Probability 3

Question 1

A frequency table shows that 15 out of 60 students prefer math. What is the relative frequency?

Accepted Answer

25%

Answer

Relative frequency = 15/60 = 0.25, which equals 25%.

Question 2

In a class of 30 students, 18 play sports and 12 play music. If 6 students play both, how many play neither?

Accepted Answer

6

Answer

Using inclusion-exclusion, 18+12−6=24 students play at least one activity, so 30−24=6 play neither.

Question 3

In a normal distribution, approximately what percentage of data falls within one standard deviation of the mean?

Accepted Answer

68%

Answer

By the empirical rule (68-95-99.7 rule), about 68% of data falls within one standard deviation of the mean.

Question 4

Which sampling method involves selecting every 10th person from an ordered list?

Accepted Answer

Systematic sampling

Answer

Systematic sampling selects subjects at fixed intervals (every kth person) from a list.

Question 5

A die is rolled 60 times and lands on 3 exactly 12 times. What is the experimental probability of rolling a 3?

Accepted Answer

1/5

Answer

Experimental probability = favorable outcomes / total trials = 12/60 = 1/5.

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