Question

A simple random sample of SBC student’s was gathered to gauge student dining habits as administrators considered adding dining options to SBC’s campus. One of the questions on the survey asked participants: “How much money did you spend on dining during the hours of 8:00 AM – 3:00 PM last week?” The following is the full data set, showing the responses of all 40 participants:

$0.00 $0.00 $1.15 $2.15 $2.27 $2.54 $3.02 $3.36 $3.45 $3.80 $4.30 $4.48 $4.70 $4.99 $5.02 $5.16 $5.20 $5.40 $5.52 $6.18 $6.40 $6.44 $6.78 $6.97 $6.97 $7.04 $7.54 $8.11 $8.25 $8.65 $8.85 $8.97 $9.28 $9.52 $10.01 $10.17 $10.30 $11.12 $11.87 $22.05

$0.00	0.00	1.15	2.15	2.27	2.54	3.02	3.36	3.45	3.80
4.30	4.48	4.70	4.99	5.02	5.16	5.20	5.40	5.52	6.18
6.40	6.44	6.78	6.79	6.79	7.04	7.54	8.11	8.25	8.65
8.85	8.97	9.28	9.52	10.01	10.17	10.30	11.12	11.87	22.05

a.) Create a histogram for the dataset.

b.) How would you describe the overall shape of the distribution?

c.) In question (6.), you calculated the median for this dataset. Based on your histogram in part (a.), do you predict the mean for this dataset will be less than, about the same as, or more than the median you calculated in question (6.)? Why?

Answer 1

After calculating the grouped frequency distribution and histogram using Excel, we have :- Bin 5 mean 0 to 5.

Here, Median class is 5 to 10.