Name___________________________________________________________________Date______Period____
Algebra II ● Chapter 11.1 to 11.3 Review
Find the mean, mode, median, range and standard deviation of the given data sets. Round answers to the nearest 10th.
1. 38, 36, 35, 36, 45, 42, 41
2. 75, 76, 79, 85, 88, 88, 90, 92
3. Using the data from problem #1, calculate the new mean, mode median, range and standard deviation of the data set
after adding a 5 to each number in the set.
4. A normal distribution has a mean of 95 and a standard deviation of 7. Label the graph and then find the probability
that a randomly selected x-value from the distribution is in the given interval.
(a) 1 standard deviation away from the mean
(b) between 88 and 109
(a) at least 102
(d) at most 95
Use the z-score z 
xx

and table to find the following.
5. A survey of 20 colleges found that the average credit card debt for seniors was $3450. The debt was normally
distributed with a standard deviation of $1175. Find the probability that the credit card debt of the seniors was at most
$3600.
6. Boxes of cereal are filled by a machine. Tests of the machine’s accuracy show that the amount of cereal in each box
varies. The weights are normally distributed with a mean of 20 ounces and a standard deviation of 0.25 ounce.
a. Find the z-scores for weights of 19.4 ounces and 20.4 ounces.
b. What is the probability that a randomly selected cereal box weighs at most 19.4 ounces?
c. What is the probability that a randomly selected cereal box weighs between 19.4 ounces and 20.4 ounces?