# Chapter 2.1 Practice

Student Learning Outcomes:

The student will calculate and interpret the center, spread, and location of the data. The student will construct and interpret histograms an box plots. Given:

Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars. Complete the Table

Complete the table below using the data provided.

Data Value (# cars)

Frequency

Relative Frequency

Cumulative Relative Frequency

Discussion Questions

Exercise 1

What does the frequency column sum to? Why?

Exercise 2

What does the relative frequency column sum to? Why?

Exercise 3

What is the difference between relative frequency and frequency for each data value?

Exercise 4

What is the difference between cumulative relative frequency and relative frequency for each data value?

Enter Data

Enter your data into your calculator or computer.

Construct a Histogram

Determine appropriate minimum and maximum x and y values and scaling. Sketch the histogram below. Label the horizontal and vertical axes with words. Include numerical scaling.

Data Statistics

Calculate the following values:

Exercise 5

Sample Mean =

Exercise 6

Sample standard deviatons = sx =

Exercise 7

Sample size = n =

Calculations

Use the table in section 2.11.13 to calculate the following values:

Exercise 8

Median =

Exercise 9

Mode =

Exercise 10

First quartile =

Exercise 11

Second quartile = median = 50th percentile =

Exercise 12

Third quartile

Exercise 13

Interquartile range (IQR) = _______ - _______ = ________

Exercise 14

10th percentile =

Exercise 15

70th percentile =

Exercise 16

Find the value that is 3...

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