EmSAT EmSAT Mathematics 3

Question 1

What is the mean of: 4, 8, 6, 10, 2?

Accepted Answer

6

Answer

Mean = sum ÷ count = (4 + 8 + 6 + 10 + 2) ÷ 5 = 30 ÷ 5 = 6.

Question 2

What is the median of: 3, 7, 1, 9, 5?

Accepted Answer

5

Answer

Arrange in order: 1, 3, 5, 7, 9. The middle value (3rd of 5) is 5.

Question 3

A bag has 3 red and 7 blue balls. What is the probability of picking a red ball?

Accepted Answer

3/10

Answer

Probability = favorable outcomes ÷ total outcomes = 3 ÷ (3 + 7) = 3/10.

Question 4

What is the standard deviation a measure of?

Accepted Answer

Spread or variability in data

Answer

Standard deviation measures the spread or dispersion of data around the mean. A larger standard deviation indicates more variability in the data set.

Question 5

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

Accepted Answer

68%

Answer

In a normal distribution, approximately 68% of data falls within one standard deviation of the mean. This is part of the 68-95-99.7 empirical rule.

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