Name ______________
Date _______________
Ms. Stalvey
12.3 Distributions of Data Practice
1. Emma Watson keeps chickens in her back yard. The weights of Emma Watson’s chickens (in lbs) are shown. Use these data for the following questions:
14, 6, 5, 7, 7, 5, 6, 7, 6, 6, 4, 5
(a) How many chickens does Emma Watson have?
(b) What unit is used to measure the chicken’s weights?
(c) What is the mean weight of the chickens?
(d) What is the median weight of the chickens?
(e) Does the mean or median better describe the center of this data? Explain.
(f) Find the lower quartile and the upper quartile.
(g) Make a box plot of the weights.
(h) Describe the shape and overall distribution of the data.
2. Wiz Khalifa is a math teacher. On Wiz Khalifa’s last math test, his students earned the following scores:
82, 96, 91, 100, 94, 78, 100, 90, 95, 88, 92, 98, 100, 82, 93, 80, 94, 90, 76, 90, 84, 100, 82, 96
(a) Use the data to complete the frequency table below:
(b) Make a histogram of the data.
3. Below are the 25 birth weights, in ounces, of all the Labrador Retriever puppies born at Kingston
Kennels in the last six months.
13, 14, 15, 15, 16,
16, 16, 16, 17, 17,
17, 17, 17, 17, 17,
18, 18, 18, 18, 18,
18, 18, 18, 19, 20
(a) Use an appropriate graph to summarize these birth weights.
(b) Describe the distribution of birth weights for puppies born at Kingston Kennels in the last six months.
Be sure to describe shape, center and variability.
(c) What is a typical birth weight for puppies born at Kingston Kennels in the last six months? Explain why you chose this value.
4. Emma Stone recently threw a small fundraiser for her nephew’s school. The fundraiser brought in donations of the following amounts:
$250, $175, $215, $350, $320, $235, $250, $280.
(a) Identify the values in the five number summary.
Minimum:
First/Lower Quartile:
Median:
Third/Upper Quartile:
Maximum:
(b) Make a box plot of the data.
(c) How would you describe the distribution of donations?