ERB Data Analysis and Statistics 5

Question 1

Test scores are 72, 85, 91, 64, and 88. What is the range?

Accepted Answer

27

Answer

Range = highest − lowest = 91 − 64 = 27.

Question 2

Maya's mean score on 6 tests is 84. What must she score on the 7th test to raise her mean to 85?

Accepted Answer

91

Answer

She needs a total of 7 × 85 = 595, and 595 − 504 = 91.

Question 3

Two coins are flipped and one number cube is rolled. How many outcomes are in the sample space?

Accepted Answer

24

Answer

By the counting principle, 2 × 2 × 6 = 24.

Question 4

In a circle graph, a category represents 15% of a budget. What is the central angle of its sector?

Accepted Answer

54°

Answer

0.15 × 360° = 54°.

Question 5

A bag holds 4 blue and 6 green marbles. Two are drawn without replacement. What is the probability both are green?

Accepted Answer

1/3

Answer

6/10 × 5/9 = 30/90 = 1/3.

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