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Gender Month of Birth Sem. Hours TV (min) Year of Birth Eye Color Study (hrs) Si

ID: 3297950 • Letter: G

Question

Gender

Month of Birth

Sem. Hours

TV (min)

Year of Birth

Eye Color

Study

(hrs)

Siblings

Dog/Cat Person

Confidence

Level

M

July

15

0

1997

Blue

3

2

Dog

10

M

August

17

0

1998

Brown

3

2

Dog

4

M

February

15

0

1990

Hazel

2

3

Dog

7

F

January

17

0

1998

Blue

0

1

Dog

10

M

February

15

240

1998

Brown

22.5

0

Dog

10

M

June

15

60

1998

Brown

2

1

Dog

10

F

July

13

0

1996

Blue

1

6

Dog

7

F

May

15

120

1998

Brown

1

5

Both

7

M

July

9

30

1993

Brown

2

0

Dog

10

M

September

13

15

1975

Brown

3.5

1

Neither

9

F

July

15

0

1998

Brown

1

4

Both

7

F

November

16

0

1997

Hazel

0.5

0

Both

8.5

F

December

15

120

1993

Brown

2.5

2

Cat

7

F

August

16

0

1998

Blue

2

7

Dog

9

M

February

15

120

1998

Green

4

2

Dog

9

M

August

17

5

1997

Blue

1

2

Both

9

M

June

15

0

1993

Brown

2

4

Dog

10

M

July

7

66

1989

Blue

1

1

Dog

8.75

M

February

14

80

1995

Brown

1

13

Dog

9.5

M

May

12

180

1995

Brown

2

2

Dog

8

M

March

12

0

1996

Green

2

5

Dog

10

M

November

13

45

1982

Brown

4

3

Dog

10

4. (a) Create a stem-and-leaf plot for the column Year of Birth and draw the graph below. Be sure to include a legend or key.

(b) What decade(s) had the most birth years?

(c) What decade(s) had the least birth years?

Gender

Month of Birth

Sem. Hours

TV (min)

Year of Birth

Eye Color

Study

(hrs)

Siblings

Dog/Cat Person

Confidence

Level

M

July

15

0

1997

Blue

3

2

Dog

10

M

August

17

0

1998

Brown

3

2

Dog

4

M

February

15

0

1990

Hazel

2

3

Dog

7

F

January

17

0

1998

Blue

0

1

Dog

10

M

February

15

240

1998

Brown

22.5

0

Dog

10

M

June

15

60

1998

Brown

2

1

Dog

10

F

July

13

0

1996

Blue

1

6

Dog

7

F

May

15

120

1998

Brown

1

5

Both

7

M

July

9

30

1993

Brown

2

0

Dog

10

M

September

13

15

1975

Brown

3.5

1

Neither

9

F

July

15

0

1998

Brown

1

4

Both

7

F

November

16

0

1997

Hazel

0.5

0

Both

8.5

F

December

15

120

1993

Brown

2.5

2

Cat

7

F

August

16

0

1998

Blue

2

7

Dog

9

M

February

15

120

1998

Green

4

2

Dog

9

M

August

17

5

1997

Blue

1

2

Both

9

M

June

15

0

1993

Brown

2

4

Dog

10

M

July

7

66

1989

Blue

1

1

Dog

8.75

M

February

14

80

1995

Brown

1

13

Dog

9.5

M

May

12

180

1995

Brown

2

2

Dog

8

M

March

12

0

1996

Green

2

5

Dog

10

M

November

13

45

1982

Brown

4

3

Dog

10

Explanation / Answer

a) Stem and leaf diagram:

Stem-and-Leaf Display: year of birth

Stem-and-leaf of year of birth N = 22
Leaf Unit = 0.10


1   1975 0
1   1976
1   1977
1   1978
1   1979
1   1980
1   1981
2   1982 0
2   1983
2   1984
2   1985
2   1986
2   1987
2   1988
3   1989 0
4   1990 0
4   1991
4   1992
7   1993 000
7   1994
9 1995 00
11 1996 00
14 1997 000
22 1998 00000000

From the diagram of stem and leaf we can see that the extreme left column is the cumulative frequency(greater than type),whereas the middle column is the year of births and the last column is the frequency for each of the years. The diagram is such that corresponding to the individual years we have the frequencies which looks like an inverted column diagram.

b)From the stem and leaf diagram we can see that the year 1998 has the most no of births. ie no is 8.

c)And the years 1975 1982 1989 1990 have the least no of births i.e all with frequency 1.