Question

1.       The following frequency table summarizes the ages of 60 shoppers for two local grocery stores.

Age of Shopper	Frequency at HED	Frequency at WalBart
15-23	10	5
24-32	21	23
33-41	10	6
42-50	8	7
51-59	5	9
60-68	6	10

a.       Create a histogram for the results shown in the table. (15 pts.)

b.       Calculate the mean and standard deviation for age of shoppers for each of the stores. (15 pts)

c.       Characterize the shoppers at each store based on your results. (20 pts)

Answer 1

'''Now, to calculate mean and sd , we prepare the following table :

Age of shopper	midpoint (Xi)	Freq at HED (fi)	Freq at walbart (gi)
15-23	19	10	5
24-32	28	21	23
33-41	37	10	6
42-50	46	8	7
51-59	55	5	9
60-68	64	6	10
Total	-	60	60

Now,

Mean age of people going to HED is ,

  

and sd is given by

  

=13.87

Similarly mean age of people going to Waldart is

  

and standrad deviation is :

  

  

=15.05

c. We can see the mean age of visitors of WALDART store is higher. Again from histogram, we can observe that both store has highest visitor age group as the 24-32 age group.

If you need the detailed calculation, or if you have any doubts let me know in the comment section. Thank You.