Data Analysis: Histogram, Box Plot, and Univariate Statistics, Assignments of Mathematics

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2019/2020

Uploaded on 12/20/2020

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Home Work: #1
Student Learning Outcomes
The student will construct a histogram and a box plot.
The student will calculate univariate statistics.
The student will examine the graphs to interpret what the data implies.
Collect the Data
Record the number of pairs of shoes you own.
1. Randomly survey 30 classmates about the number of pairs of shoes they own. Record
their values.
Survey Results
_____ _____ _____ _____ _____
_____ _____ _____ _____ _____
_____ _____ _____ _____ _____
_____ _____ _____ _____ _____
_____ _____ _____ _____ _____
_____ _____ _____ _____ _____
2. Construct a histogram. Make five to six intervals. Sketch the graph using a ruler and
pencil and scale the axes.
Figure 2.9.1
3. Calculate the following values.
a. x¯
b. s
4. Are the data discrete or continuous? How do you know?
5. In complete sentences, describe the shape of the histogram.
6. Are there any potential outliers? List the value(s) that could be outliers. Use a formula to
check the end values to determine if they are potential outliers.
Analyze the Data
1. Determine the following values.
a. Min = _____
b. M = _____
c. Max = _____
d. Q1 = _____
e. Q3 = _____
f. IQR = _____
2. Construct a box plot of data
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Home Work: # Student Learning Outcomes

  • The student will construct a histogram and a box plot.
  • The student will calculate univariate statistics.
  • The student will examine the graphs to interpret what the data implies.

Collect the Data

Record the number of pairs of shoes you own.

1. Randomly survey 30 classmates about the number of pairs of shoes they own. Record

their values. Survey Results







2. Construct a histogram. Make five to six intervals. Sketch the graph using a ruler and

pencil and scale the axes. Figure 2.9.

3. Calculate the following values.

a. x ¯

b. s

4. Are the data discrete or continuous? How do you know?

5. In complete sentences, describe the shape of the histogram.

6. Are there any potential outliers? List the value(s) that could be outliers. Use a formula to

check the end values to determine if they are potential outliers.

Analyze the Data

1. Determine the following values.

a. Min = _____

b. M = _____

c. Max = _____

d. Q 1 = _____

e. Q 3 = _____

f. IQR = _____

2. Construct a box plot of data

3. What does the shape of the box plot imply about the concentration of data? Use complete

sentences.

4. Using the box plot, how can you determine if there are potential outliers?

5. How does the standard deviation help you to determine concentration of the data and

whether or not there are potential outliers?

6. What does the IQR represent in this problem?

7. Show your work to find the value that is 1.5 standard deviations:

a. above the mean.

b. below the mean.