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Apr 3, 2024

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Stat 1430 Rec 3 Graphs and Desc. Stats with StatCrunch Part 1: StatCrunch Car Discounts • Go to the Module for Recitation 3 and under it is a data set called “Car Discounts.” Copy and paste the data into stat crunch. Do this by copying the data (Control/A to select all the data and Control/C to copy). Then go to “Statcrunch.com” and “open stat crunch”, then paste (Control/P). • This data set contains a random sample of customers at a new car dealership. The data include the amount of discount they were given off the sticker price on the car they purchased, their age, income, and their gender (1 = male, 0 = female). • Answer the following questions about this data set 1. How many customers were sampled? 100 Customers 2. Measures of Center: a. What was the median car discount? (see instructions below) $1327.5 b. What was the mean car discount? $1266.81 c. Compare the mean and the median. The median is 60.69 greater than the mean Skewed le( TO FIND THE MEAN/MEDIAN/STANDARD DEVIATION, ETC OF A DATA SET IN STATCRUNCH: - Go to STAT MENU / SUMMARY STATISTICS / COLUMNS - When it asks to “Select Columns”: Select the variable you want to find the staPsPc for - Under “STATISTICS” Click on the staPsPcs you want (for example MEAN, STANDARD DEVIATION….) -Click “COMPUTE!” 3. What is the standard deviaPon of the discounts? Would a couple of very big discounts added to your data set affect the standard deviaPon? If so how? A standard deviaBon measures the spread and the distribuBon of the data. The Standard dev. Is $537.35782. If big discounts where added it would skew the graph more resulBng in a greater standard deviaBon.
Stat 1430 Rec 3 Graphs and Desc. Stats with StatCrunch 4. What is the highest discount? What is the lowest discount? To find this, sort the data using the instrucPons below. Highest : $2520 Lowest : $131 SORTING A DATA SET IN STATCRUNCH: - Go to DATA MENU / SORT - When it asks “Columns to Sort”, click “All Columns” -Sort Criteria: Choose the variable you want to sort by (Discount) -Click “COMPUTE!” 5.Make a histogram of the car discounts using Stat Crunch (see instrucPons below). Copy/paste here. Do not sketch! TO MAKE A HISTOGRAM OF A DATA SET IN STATCRUNCH: - Go to GRAPH MENU / HISTOGRAM - When it asks to “Select Columns”: Select the variable you want to find the staPsPc for -Under “Type” click whether you want to show the frequencies (counts) or the relaPve frequencies (percents) on the Y-axis. -Click “COMPUTE 6. Describe the shape of the histogram in terms of amount of discount. I would say that it resembles a bimodal shape with 2 peaks 7. Customer Age Variable: Answer the below quesPons.
Stat 1430 Rec 3 Graphs and Desc. Stats with StatCrunch a. GO TO GRAPH MENU and select a histogram and the age variable. Copy/paste your graph below and describe your results. Do not sketch! Based on this data, and by interprePng the graph, what age should they market the cars to? 8. GE N DER. Find the means, medians, and standard deviations of the discounts for males and females separately. Put your answers on next page. Do this by the following: TO FI N D SEPARATE MEA N S, ETC. FOR GROUPS SEPARATELY I N STATCRU N CH: - - Go to STAT MENU / SUMMARY STATISTICS / COLUMNS - - When it asks to “Select Columns”: Select the variable you want to find the staPsPc for (Discount) - Under “Group by”, click the variable you want to group informaBon for (Sex) - - Under “STATISTICS” Click on the staPsPcs you want (for example MEAN, STANDARD DEVIATION….) - -Click “COMPUTE!” Males (indicated by 1) Females (indicated by 0) MEA N - $1624.5652 $962.05556
Stat 1430 Rec 3 Graphs and Desc. Stats with StatCrunch MEDIA N - $1614.5 $870.5 ST. DEV. - $382.35804 $457.74148 9. How many males and how many females were in the data set? 54 females and 46 males 10. Make 2 boxplots of the discounts, one for the males and one for the females O N THE SAME GRAPH. Copy/paste below. Do not sketch! Here are the instructions: How to make boxplots for different groups in StatCrunch: 1. Go go the GRAPH menu and click on BOXPLOT 2. Click on the variable for DISCOU N T 3. On “GROUP BY” pull down the menu and click the SEX variable. 4. Click COMPUTE! 11. Using your findings (descriptive statistics and graph), does one gender get more of a discount than the other, based on this data? Explain using statistics as your evidence.
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