- You are an accountant interested in determining last months’ distribution of charge account balances for a large
hardware store. It is too expensive to check all accounts. Thus you select a random sample of 40 customers who
have charge accounts. The following values represent last month’s balances (in dollars) for each of the 40
customers:
71 58 66 119 55 46 22 69 84 72 45 61 45 84 68 107 96 58 47 61 91
47 102 76 63 55 52 69 75 10 85 32 63 55 65 66 55 35 70 78
(a) Create a Stem-and Leaf Plot with 10’s as the stem and the 1’s as the leaf.
(b) Using interval of 10, create a frequency distribution and plot the Histogram, the Frequency Polygon and the Frequency Ogive. - Busta Squaremeli of Themeliville is a well-known street vendor who sells three flavors of ice cream and provides
a choice of three toppings. His sales during the course of a given day are shown in the table below:
Chocolate (A) Vanilla (B) Cherry (C)
Plain (D) 125 70 30
Sprinkles (E) 75 25 10
Nuts (F) 50 55 60
From the above table, find the following:
a. P(A or E)
b. P(B and C)
c. P(A or D)
d. P(A or C or D)
e. Given that a customer has chosen nuts as a topping, what is the probability he/she will choose cherry ice
cream - The price-earning ratios of a sample of common stocks for companies listed on the American Stock Exchange
are given below:
Class Number of stocks
15 to under 30 9
30 to under 45 5
45 to under 60 5
60 to under 75 7
75 to under 90 4
Calculate the Mean, Median and Standard Deviation from these data - Suppose we have the following contingency table showing 4 regions of the US in which people live and 3 types
of music people listen to.
Classical Country Rock
Southeast 50 40 85
Southwest 105 85 160
Northeast 80 70 125
Northwest 65 55 80
a. Compute the Marginal and Joint probabilities
b. Given that a person lives in the Northeast, what is the probability that he/she will listen to country music?
c. Given that a person listens to rock music, what is the probability that he/she lives in the Northwest? - A market research firm goes to several stores and determines how much (in US dollars and cents) each charges
for an identical tube of toothpaste, with the following results:
69 67 72 68 63 67 62 65 71 63
Compute the following:
(a) Mean (f) Quartile Deviation
(b) Median (g) Box-and-Whisker Plot
(c) Range (h) Standard Deviation
(d) Midrange (i) Coefficient of Variation
(e) Interquartile Range (j) Mean Absolute Deviation
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