Bluebook SAT Test Problem Solving and Data Analysis 3

Question 1

A data set has mean 50 and standard deviation 8. Which score is exactly 2 standard deviations above the mean?

Accepted Answer

66

Answer

2 standard deviations above the mean = 50 + 2(8) = 50 + 16 = 66.

Question 2

A two-way table shows: 30 athletes study math, 20 non-athletes study math, 70 athletes don't study math, 40 non-athletes don't study math. What is the probability that a randomly chosen athlete studies math?

Accepted Answer

3/10

Answer

Total athletes = 30+70 = 100. Athletes who study math = 30. P = 30/100 = 3/10.

Question 3

A random sample of 50 voters showed 30 support Candidate A. Based on this, what is the best estimate of the percentage of all voters who support Candidate A?

Accepted Answer

60%

Answer

Sample proportion = 30/50 = 0.60 = 60%. This is the best estimate for the population proportion.

Question 4

The table shows: Product X has mean rating 4.2 and standard deviation 0.5; Product Y has mean rating 3.8 and standard deviation 1.2. Which statement is correct?

Accepted Answer

Product X has more consistent ratings than Product Y

Answer

Lower standard deviation means more consistent. Product X has SD=0.5 vs Y's SD=1.2, so X is more consistent.

Question 5

A store tracks daily customers for a week: 45, 52, 38, 61, 55, 48, 50. What is the range of this data?

Accepted Answer

23

Answer

Range = maximum - minimum = 61 - 38 = 23.

Bluebook SAT Practice Test Practice Test

Bluebook SAT Practice Test Practice Test

Bluebook SAT Test Problem Solving and Data Analysis 3