Name:
Math 166 Quiz 8: 3.2, 3.3
Remember to show your work. Correct math is worth partial credit. Round final answers to 4
decimal places.
1. The following table gives a sample of math SAT scores over the past years.
Males
Females
500
453
498
422
500
455
497
454
498
419
501
453
a. (3 points) Find the average, mode, median, variance, and standard deviation of male SAT scores.
b. (3 points) Find the average, mode, median, variance, and standard deviation of female SAT scores.
b. (1 point) Which gender’s SAT scores varied more?
2. (1 point) If X is a random variable with µ(X) = 90, σ = 3, use Chebyshev’s inequality to
approximate P (70 ≤ X ≤ 110).
1
3. The average American spends 5 hours a day watching television. We randomly select 15
Americans to be called at a randomly selected time during the day.
a. (1 point) What is the expected number of people watching TV?
b. (1 point) What is the variance of the number of people watching TV?
Page 2