Business Statistics Displaying Descriptive Statistics

Download 0.49 Mb.

Page	3/4
Date	20.10.2016
Size	0.49 Mb.
	#5537

1 2 3 4

Answer: Set k = 5 because 25 = 32 > 25.

Estimated Class Width = = 4.6 ≈ 5

Number of Pairs	Frequency
1-5	2
6-10	5
11-15	9
16-20	6
21-25	3
Total	25

Keywords: frequency distribution, grouped data

Reference: Page 32
117) The following data show the number of pairs of men's New Balance sneakers that were sold over the last 25 weeks at a discount shoe store.

Construct a relative frequency distribution for this data and determine the probability that between 6 to 10 pairs of New Balance shoes will be sold next week.

Answer: Set k = 5 because 25 = 32 > 25.

Estimated Class Width = = 4.6 ≈ 5

Number of Pairs	Frequency	Relative Frequency
1-5	2	0.08
6-10	5	0.20
11-15	9	0.36
16-20	6	0.24
21-25	3	0.12
Total	25	1.00

_P_{(6 ≤}_x_{≤ 10 ) = 0.20}
Keywords: relative frequency distribution, grouped data

Reference: Page 32

118) The following data show the number of pairs of men's New Balance sneakers that were sold over the last 25 weeks at a discount shoe store.

Construct a cumulative relative frequency distribution for this data and determine the probability that 15 or fewer pairs of New Balance shoes will be sold next week.

Answer: Set k = 5 because 25 = 32 > 25.

Estimated Class Width = = 4.6 ≈ 5

Number of Pairs	Frequency	Relative Frequency	Cumulative Relative Frequency
1-5	2	0.08	0.08
6-10	5	0.20	0.28
11-15	9	0.36	0.64
16-20	6	0.24	0.88
21-25	3	0.12	1.00
Total	25	1.00

_P₍_x_{≤ 15) = 0.64}
Keywords: relative frequency distribution, grouped data

Reference: Page 32

119) The following data show the number of pairs of men's New Balance sneakers that were sold over the last 25 weeks at a discount shoe store.

Construct a histogram for this data.

Answer: Set k = 5 because 25 = 32 > 25.

Estimated Class Width = = 4.6 ≈ 5

Number of Pairs	Frequency
1-5	2
6-10	5
11-15	9
16-20	6
21-25	3
Total	25

Keywords: relative frequency distribution, grouped data

Reference: Page 32

120) The following data show the monthly rental for a random sample of one-bedroom

apartments in York, Pennsylvania.

Construct a frequency distribution for this data.

Answer: Set k = 5 because 25 = 32 > 20

Estimated Class Width = = $48 ≈ $50

Monthly Rent	Frequency
$600 to under $650	2
$650 to under $700	5
$700 to under $750	3
$750 to under $800	8
$800 to under $850	2
Total	20

Keywords: frequency distribution, grouped data

Reference: Page 32
121) The following data show the monthly rental for a random sample of one-bedroom apartments in York, Pennsylvania.

Construct a relative frequency distribution for this data and determine the probability a randomly selected one-bedroom apartment will rent between $700 and less than $750 per month.

Answer: Set k = 5 because 25 = 32 > 20

Estimated Class Width = = $48 ≈ $50

Monthly Rent	Frequency	Relative Frequency
$600 to under $650	2	0.10
$650 to under $700	5	0.25
$700 to under $750	3	0.15
$750 to under $800	8	0.40
$800 to under $850	2	0.10
Total	20	1.00

_P_{($700 ≤}_x_{< $750) = 0.15}
Keywords: relative frequency distribution, grouped data

Reference: Page 32

122) The following data show the monthly rental for a random sample of one-bedroom apartments in York, Pennsylvania.

Construct a cumulative relative frequency distribution for this data and determine the probability a randomly selected one-bedroom apartment will rent for less than $700 per month.

Answer: Set k = 5 because 25 = 32 > 20

Estimated Class Width = = $48 ≈ $50

Monthly Rent	Frequency	Relative Frequency	Cumulative Relative Frequency
$600 to under $650	2	0.10	0.10
$650 to under $700	5	0.25	0.35
$700 to under $750	3	0.15	0.50
$750 to under $800	8	0.40	0.90
$800 to under $850	2	0.10	1.00
Total	20	1.00

_P₍_x_{< $700) = 0.35}
Keywords: cumulative relative frequency distributions, grouped data

Reference: Page 32

123) The following data show the monthly rental for a random sample of one-bedroom apartments in York, Pennsylvania.

Construct a histogram for this data.

Answer:

Set k = 5 because 25 = 32 > 20

Estimated Class Width = = $48 ≈ $50

Monthly Rent

Frequency

$600 to under $650

2

$650 to under $700

5

$700 to under $750

3

$750 to under $800

8

$800 to under $850

2

Total

20

Keywords: frequency distribution, grouped data

Reference: Page 32

124) The following table shows the number of points scored by the Green Bay Packers and the Detroit Lions of the National Football League for each season from 1997 until 2011.

Use four classes, each with a class width of 100. Start classes with 201-300, 301-400, and so on, and construct a percentage polygon. What conclusions can you draw comparing these two teams?

Answer:

Green Bay tended to score more points per season than Detroit during this time span.
Keywords: percent polygon

Reference: Page 37

125) The following table shows the number of points scored by the Green Bay Packers and the Detroit Lions of the National Football League for each season from 1997 until 2011.

Use four classes, each with a class width of 100. Start classes with 201-300, 301-400, and so on, and construct a cumulative percentage polygon. What conclusions can you draw comparing these two teams?

Answer:

Green Bay tended to score more points per season than Detroit during this time span.
Keywords: cumulative percentage polygon

Reference: Page 37

126) The following table shows the number of patents that various corporations filed in 2011.

Company

Number of Patents

IBM

6,180

Samsung

4,894

Canon

2,821

Panasonic

2,559

Toshiba

2,483

Construct the type of chart that would be most appropriate if the goal was to compare the number of patents among companies.

Answer:

Keywords: bar charts

Reference: Page 43

127) The following table shows the percentage of enterprise companies issuing personal computers running the MAC OS X operating system.

Year	Percentage
2009	30%
2010	37%
2011	46%

Construct the type of chart that would be most appropriate if the goal was to compare the percentages over time.

Answer:

Keywords: bar charts

Reference: Page 43

128) The following table shows the number of people collecting Social Security disability benefits, in millions, over a five-year period.

Year	Number of People (millions)
2007	8.9
2008	9.3
2009	9.7
2010	10.2
2011	10.7

Construct the type of chart that would be most appropriate if the goal was to compare the number of people collecting Social Security disability benefits over time.

Answer:

Keywords: bar charts

Reference: Page 43

129) The following table shows customer satisfaction scores for five airlines in 2010 and 2011.

Airline	2010	2011
JetBlue	764	773
Southwest	742	769
West Jet	740	729
AirTran	704	690
Frontier	688	688

Download 0.49 Mb.

Share with your friends:

1 2 3 4