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.
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)
Cumulative Relative Frequency
What does the frequency column sum to? Why?
What does the relative frequency column sum to? Why?
What is the difference between relative frequency and frequency for each data value?
What is the difference between cumulative relative frequency and relative frequency for each data value?
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.
Calculate the following values:
Sample Mean =
Sample standard deviatons = sx =
Sample size = n =
Use the table in section 2.11.13 to calculate the following values:
First quartile =
Second quartile = median = 50th percentile =
Interquartile range (IQR) = _______ - _______ = ________
10th percentile =
70th percentile =
Find the value that is 3