Question

3. Create a frequency table for classes of MPG, including frequency and relative frequency for the cars in the sample.

4.Calculate the mean Days in Inventory for the cars in the sample. Also, do the following: Compare the mean to the median and the mode. Highlight the value that would be a better representation of the "typical" price of a car in inventory.

Sample Car #	Color	MPG	Suggest Retail Price	Option Package	Days in Inventory
1	Grey	27.6	$    24,390.00	LX	1
2	Grey	32.4	$    21,780.00	Touring	10
3	Blue	33.2	$    21,149.00	Touring	28
4	Black	34.7	$    22,069.00	LX	21
5	Blue	27.2	$    22,532.00	Touring	16
6	Blue	26.6	$    20,345.00	Touring	22
7	Red	37.3	$    22,112.00	EX	12
8	Silver	34.9	$    21,289.00	Touring	23
9	Silver	29.6	$    24,871.00	LX	15
10	Silver	32.3	$    25,389.00	EX	8
11	Grey	31.9	$    25,998.00	EX	28
12	Red	26.4	$    19,713.00	LX	55
13	Black	34.8	$    25,213.00	EX	2
14	Silver	35.9	$    24,467.00	Touring	33
15	Black	34.6	$    21,402.00	LX	17
16	Black	33.3	$    20,351.00	LX	14
17	Grey	33.1	$    23,732.00	Touring	1
18	Red	37.5	$    24,558.00	Touring	2
19	Red	27.8	$    19,167.00	LX	18
20	Red	36.1	$    19,903.00	Touring	22
21	Blue	28.8	$    22,140.00	Touring	19
22	Red	26.2	$    22,180.00	EX	41
23	Silver	27.4	$    23,120.00	Touring	33
24	Black	34.9	$    19,837.00	Touring	21
25	Red	36.5	$    24,666.00	EX	31
26	Red	26.3	$    19,446.00	EX	35
27	Blue	31.4	$    23,954.00	Touring	11
28	Blue	30.9	$    21,201.00	LX	3
29	Red	27.4	$    21,346.00	EX	26
30	Red	36	$    19,406.00	EX	31

Answer 1

I have created frequency table for MPG including relative frequency. Here I have created class having width 2 MPG. And in that classes I have classified all the observations. In that table observation equal to upper class limit is excluded from the same class.

Sr.No	Class Limits for MPG	Frequency	Relative Freqency
1	0-26	0	0
2	26-28	9	0.3
3	28-30	2	0.066666667
4	30-32	3	0.1
5	32-34	5	0.166666667
6	34-36	6	0.2
7	36-38	5	0.166666667
	Total	30	1

To find the relative frequency, divide thefrequency by the total frequency.

b) Mean days for the inventory for the cars in sample is 19.966667.

Median is 20 and Mode is 1.

In this example you have to prefer value of mean which is a better representation of the  "typical" price of a car in inventory.

Thank you...