Statistics Chapter 6 Project: The Shape, Center, and Spread of a Normal Distribution
Name: ______________________________________________________ Date: ________________________
1. Obtain the number of pets of 30 people in the high school.
a. Find the mean, variance, and standard deviation of the data.
Data
b. Show your calculations and data in the chart.
c. Find the z- score for the following number of
pets:
i. 2 pets
ii. 4 pets
iii. 8 pets
d. What percentage of students have less than 3
pets?
e. What percentage of students have more than 1
pet?
Mean- Data
(Mean – Data)2
2. Obtain the heights (in inches) of 15 people in the school building.
a. Find the mean, variance, and standard deviation of
the data.
Data (Mean – Data) (Mean – Data)2
b. Show your calculations and data in given chart.
c. Find the z-score for the given heights below:
a. 65 inches
b. 72 inches
c. 80 inches
d. What percentage of students have a height less than 63 inches?
e. What percentage of students have a height greater than 78 inches?
3. Write a paragraph about the similarities and differences of the data you have found. Do these data
sets seem to be a normal distribution curve? Why or why not?