Math 5

A. Section 7.1

Use Table 7-7 to complete the Exercise.

What day of the week had the highest amount in sales? What day had the lowest amount in sales?

B. Section 7.2

Salaries for the research and development department of Richman Chemical are given as $48,397;

$27,982; $42,591; $19,522; $32,400; and $37,582.

a. Find the mean rounded to the nearest dollar.

b. Find the median.

c. Find the mode.

d. Write a statement about the data set based on your findings.

C. Section 7.3

The data shows the total number of employee medical leave days taken for on-the-job accidents in the

first six months of the year: 12, 6, 15, 9, 18, 12. Use the data for the Exercise.

Find the mean number of days taken for medical leave each month.

MAT105 – Quantitative Methods

Unit 5 DB Assignment

D. Section 7.1

Use Figure 7-15 for the Exercise.

What speed gave the highest gasoline mileage for both types of automobiles?

E. Section 7.2

Accountants often use the median when studying salaries for various jobs. What is the median of the

following salary list: $32,084; $21,983; $27,596; $43,702; $38,840; $25,997?

F. Section 7.1

Use Figure 7-15 for the Exercise.

At what speed did the first noticeable decrease in gasoline mileage occur? Which car showed this

decrease?

G. Section 7.3

The data shows the total number of employee medical leave days taken for on-the-job accidents in the

first six months of the year: 12, 6, 15, 9, 18, 12. Use the data for the Exercise.

Find the sum of squares of the deviations from the mean.

H. Section 7.1

Use Figure 7-16 for the Exercise. Round to the nearest tenth of a percent.

Figure 7-16 Dale Crosby’s Salary History

Calculate the amount and percent of increase in Dale’s salary from 2014 to 2015.


I. Section 7.2

The following grades were earned by students on a midterm business math exam:

75 82 63 88 94

81 90 72 84 87

98 93 85 68 91

78 86 91 83 92

Make a frequency distribution of the data using the intervals 60–69, 70–79, 80–89, and 90–99.

J. Section 7.3

The data shows the total number of employee medical leave days taken for on-the-job accidents in the

first six months of the year: 12, 6, 15, 9, 18, 12. Use the data for the Exercise.

Find the standard deviation.

K. Section 7.1

Use Figure 7-16 for the Exercise. Round to the nearest tenth of a percent.

Figure 7-16 Dale Crosby’s Salary History

If the cost-of-living increase was 10% from 2011 to 2016, determine if Dale’s salary for this period of

time kept pace with inflation.

L. Section 7.2

The 7th Inning wants to group a collection of autographed photos by price ranges. Make a relative

frequency distribution of the prices using the intervals $0–$9.99, $10–$19.99, $20–$29.99, $30–$39.99,

and $40–$49.99.

$2.50 $3.75 $1.25 $21.50 $43.00 $15.00

$26.00 $14.50 $12.75 $35.00 $37.50 $48.00

$7.50 $6.50 $7.50 $8.00 $12.50 $15.00

$9.50 $8.25 $14.00 $25.00 $18.50 $45.00

$32.50 $20.00 $10.00 $17.50 $6.75 $28.50

Using the frequency distribution of the prices, what percent of the collection is priced $40 or over?

M. Section 7.3

Use the sample ACT test scores 24, 30, 17, 22, 22.

Find the range.

N. Section 7.1

Match the dollar values with the names in the circle graph of Figure 7-17 by visually selecting the

largest portion on the graph, then the next largest, and so on: $192, $144, $96, $72, $72.

Figure 7-17 Daily Sales by Salesperson

O. Section 7.2

Find the mean for the scores: 3,850; 5,300; 8,550; 4,300; 5,350.

P. Section 7.3

Use the sample ACT test scores 24, 30, 17, 22, 22.

Find the deviations from the mean.

Q. Section 7.1

The family budget is illustrated in Figure 7-18.

Figure 7-18 Distribution of Family Monthly Take-Home Pay
 
 





Using Figure 7-18, what percent of the take-home pay is allocated for food?


R. Section 7.2

Find the mean for the amounts: $17,485; $14,978; $13,592; $14,500; $18,540; $14,978. Round to the

nearest dollar.

S. Section 7.1

Use Figure 7-14 for this Exercise.

Figure 7-14 Quarterly Dollar Volume of Batesville Tire Company

Which quarter had the highest dollar volume?

T. Section 7.2

Find the median for the scores: 92, 68, 72, 83, 72, 95, 88, 76, 72, 89, 89, 96, 74, 72.

U. Section 7.3

Use the sample ACT test scores 24, 30, 17, 22, 22. Find the variance.

V. Section 7.1

Use Figure 7-14 for this Exercise.

Figure 7-14 Quarterly Dollar Volume of Batesville Tire Company

What was the percent of increase in sales from the first to the second quarter?

W. Section 7.2

Find the mode for the scores: 3,850; 5,300; 8,550; 4,300; 5,350.

X. Section 7.3

In a set of 100 ACT scores that are normally distributed and with a mean of 23 and standard deviation of

4.69,

a. How many scores are expected to be lower than 18.31 (one standard deviation below the mean)?

b. How many of the 100 scores are expected to be below 32.38 (two standard deviations above the

mean)?

Y. Section 7.1

Use Table 7-7 to complete the Exercise.

Construct a bar graph showing total sales by salesperson for Happy’s Gift Shoppe in Table 7-7.

Z. Section 7.2

Find the mode for the amounts: $17,485; $14,978; $13,592; $14,500; $18,540; $14,978.