iCoachMath.com: Examples on Statistics and Data (Graphical) - Discrete Mathematics

Curriculum: Arizona Academic Content Standards Click to change Curriculum

Topic: Discrete Mathematics Click to change Topic

Lesson: Statistics and Data (Graphical) Click to change Lesson

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c The discounts offered by a super market are as shown in the table. Which of the histograms is the correct representation of the data?

Amount (in $)	Discount%
1000 - 1999	2
2000 - 2999	4
3000 - 3999	6
4000 - 4999	8
5000 - 5999	10

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c The number of leaves in the branches of a tree are displayed in the stem-and-leaf plot. How many data values above 31 are there in the plot?
c

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c A children's club consists of two basketball teams. The stem-and-leaf plot shows the number of points scored by the two teams in 8 games. What is the least number of points scored by Team 1?
c

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c Which frequency table represents the data? 18, 6, 10, 21, 10, 12, 14, 18, 21, 10, 18, 12, 9, 6, 6, 9, 6, 6 and 14 c

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c A group of students in 8^th grade went on a botanical trip. While returning from the trip, they counted the number of different kinds of shrubs collected by each student. Select the stem and leaf plot that displays their data correctly.

Name of Student	Different types of Shrubs collected
Matt	10
Laura	8
Brian	6
Jessica	2
Lauren	16
Frank	9
Henry	28

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c A group of students in 9^th grade went on a botanical trip. While returning from the trip, they counted the number of different kinds of shrubs collected by each student. Select the stem and leaf plot that displays their data correctly.

Name of Student	Different types of Shrubs collected
William	2
Lauren	9
Charlie	10
Lydia	6
Olga	28
Dennis	8
Nathan	16

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c The table shows the number of states that have a certain population. Which histogram correctly shows the information in the table?

Population in millions	Number of states
2 - 3	10
4 - 5	3
6 - 7	4
8 - 9	7
10 - 11	2

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c The number of channels viewed by people of different ages is given in the table. Which histogram represents the data correctly?

Age groups (in years)	Channels
1 - 10	4
11 - 20	15
21 - 30	30
31 - 40	25
41 - 50	10

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c The stem-and-leaf plot shown represents the sales of bouquets in the past 10 days. Which histogram represents the data?

Stem	Leaf
2	6 7 8
3	0 1 3 7
4	4 5
5	2

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c Paul's annual income is given in the table. Choose the correct line graph and determine the year in which there is a significant increase in his income.

YEAR	1990	1991	1992	1993	1994	1995	1996
INCOME($)	60	62	64	66	76	78	82

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c How many leaves are there in the second stem? c

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c The number of toys with the children in a baby care center are displayed in the stem-and-leaf plot. How many data values above 29 are there in the plot?
c

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c Bill's annual income is given in the table. Choose the correct line graph and determine the year in which there is a significant increase in his income.

YEAR	1990	1991	1992	1993	1994	1995	1996
INCOME($)	60	62	64	66	76	78	82

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c Pick an appropriate frequency table for the stem and leaf plot. c

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c The time plot is an example of a______.
c

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c Pick the appropriate rotated stem and leaf plot of the stem and leaf plot.
c

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c The serving speed (miles per hour) of some of the tennis players who participated in a tennis tournament are 128, 129, 130, 131, 132, 133, 134, 135, 136, 137 and 138. Which of the stem and leaf plots represents the data correctly?
c

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Name of Student	Different types of Shrubs collected
Victor	10
Marissa	8
Josh	6
Lindsay	2
Jessica	16
Andy	9
Francis	28

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c A group of students in 7^th grade went on a botanical trip. While returning from the trip, they counted the number of different kinds of shrubs collected by each student. Select the stem and leaf plot that displays their data correctly.

Name of Student	Different types of Shrubs collected
Paul	4
Christina	10
Andrew	22
Nancy	5
Rose	26
Jim	8
Bill	16

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c Which frequency table represents the data? 14, 18, 14, 14, 10, 12, 14, 18, 21, 10, 18, 12, 9, 6, 6, 9, 6, 6 and 14 c

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c The stem-and-leaf plot shown represents the sales of a particular type of bouquet over 10 days. Which of the histograms represents the data?

Stem	Leaf
2	6 7 8
3	0 1 3 7
4	4 5
5	2

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c The table shows the number of states that have a certain population. Which histogram correctly shows the information in the table?

Population in millions	Number of states
2 - 3	10
4 - 5	7
6 - 7	4
8 - 9	2
10 - 11	3

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c Which stem in the stem-and-leaf plot has the maximum number of leaves?
c

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c The number of channels viewed by people of different ages is given in the table. Which histogram represents the data correctly?

Age groups (in years)	Channels
1 - 10	4
11 - 20	15
21 - 30	25
31 - 40	30
41 - 50	10

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c The stem-and-leaf plot shown represents the sales of ice creams in the past 9 days. Which histogram represents the data?

Stem	Leaf
2	6 7
3	0 1 3 7
4	4 5
5	2

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c A jewellery store sells gold chains, diamond rings and bracelets. The cost of 24 different gold chains (of the same weight) are $150, $100, $150, $200, $150, $100, $150, $100, $150, $100, $150, $100, $150, $100, $150, $200, $100, $150, $150, $100, $150, $200, $150 and $200. Make a frequency table for the data.
c

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c A children's club consists of two basketball teams. The stem-and-leaf plot shows the number of games won by each team. How many games more did Team 2 win than Team 1?
c

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c A children's club consists of two volleyball teams. The stem-and-leaf plot shows the number of points scored by the two teams in 8 games. What is the highest number of points scored by Team 2?
c

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c A student took 16 mock tests. He received the average score in 4^th, 8^th and 12^th tests. In 2 of the tests he scored above average scores and in 5 of the tests he scored below average scores. The remaining 6 tests he got good scores. Which frequency table is appropriate for his test scores? c

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c The histogram represents the number of trains that arrive at the station in a city. How many trains have arrived in the city by noon?
c

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c The number of injuries that the Badgers football team had in the past years is shown in the table. Which line graph represents the data?

Year	1993	1994	1995	1996	1997	1998	1999	2000
Injuries	22	24	18	14	22	20	16	10

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c The increase in the number of women competing in the beauty contest held by a company since the contest started in 1995, is shown in the table. Which line graph represents the data in the table?

1995	1996	1997	1998	1999	2000
50	25	125	250	300	500

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c The time taken by the racers in a car race are 1.2 min, 1.5 min, 1.2 min, 1.4 min, 1.5 min, 1.6 min, 1.6 min, 1.2 min, 1.4 min, 1.2 min, 1 min and 1.5 min. Which frequency table represents the data correctly?
c

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c Based on the stem-and-leaf plot, how many data items are there in the intervals 20 - 29, 30 - 39, 40- 49, 50- 59 and 60 - 69? c

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c Select a suitable line graph for the data.

Number of burgers sold	300	400	100	400	600
Month	June	July	Aug	Sep	Oct

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c The line graph shows the hours of study and test scores of 8 students. Suppose the trend for the scores continues. Use the line graph to predict the test score of a student who studied for 27 hours. c

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c The discounts offered by a super market are shown in the table. Which of the histograms is the correct representation of the data?

Amount (in $)	Discount%
1000 - 1999	2
2000 - 2999	2
3000 - 3999	4
4000 - 4999	8
5000 - 5999	8

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c Francis's annual income is given in the table. Choose the correct line graph and determine the year in which there is a significant increase in his income.

YEAR	1990	1991	1992	1993	1994	1995	1996
INCOME($)	60	62	64	66	76	78	82

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