EASY
AS and A Level
IMPORTANT
Earn 100

The runs scored by two batsmen in 15 cricket matches last season were:
Batsman P : 53, 41, 57, 38, 41, 37, 59, 48, 52, 39, 47, 36, 37, 44, 59.
Batsman Q : 56, 48, 31, 64, 21, 52, 45, 36, 57, 68, 77, 20, 42, 51, 71.
Show the data in a diagram that allows easy comparison of the two performances.

Important Questions on Representation of Data

EASY
AS and A Level
IMPORTANT
The runs scored by two batsmen in 15 cricket matches last season were:
Batsman P : 53, 41, 57, 38, 41, 37, 59, 48, 52, 39, 47, 36, 37, 44, 59.
Batsman Q : 56, 48, 31, 64, 21, 52, 45, 36, 57, 68, 77, 20, 42, 51, 71.
Giving a reason for your answer, decide which of the batsmen performed better.
EASY
AS and A Level
IMPORTANT
The runs scored by two batsmen in 15 cricket matches last season were:
Batsman P : 53, 41, 57, 38, 41, 37, 59, 48, 52, 39, 47, 36, 37, 44, 59.
Batsman Q : 56, 48, 31, 64, 21, 52, 45, 36, 57, 68, 77, 20, 42, 51, 71.
Giving a reason for your answer, decide which of the batsmen performed more consistently.
EASY
AS and A Level
IMPORTANT
The total numbers of eggs laid in the nests of two species of bird were recorded over several breeding seasons.
The numbers of eggs laid in the nests of 10 wrens and 10 dunnocks are:
Wrens: 22, 18, 21, 23, 17, 23, 20, 19, 24, 13.
Dunnocks: 28, 24, 23, 19, 30, 27, 22, 25, 22, 17.
Represent the data in a back-to-back stem-and-leaf diagram with rows of width 5.
EASY
AS and A Level
IMPORTANT

The total numbers of eggs laid in the nests of two species of bird were recorded over several breeding seasons.
The numbers of eggs laid in the nests of 10 wrens and 10 dunnocks are:
Wrens: 22, 18, 21, 23, 17, 23, 20, 19, 24, 13.
Dunnocks: 28, 24, 23, 19, 30, 27, 22, 25, 22, 17.
Represent the data in a back-to-back stem-and-leaf diagram with rows of width 5.

Given that all of these eggs hatched and that the survival rate for dunnock chicks is 92%, estimate the number of dunnock chicks that survived.

EASY
AS and A Level
IMPORTANT

The total numbers of eggs laid in the nests of two species of bird were recorded over several breeding seasons.
The numbers of eggs laid in the nests of 10 wrens and 10 dunnocks are:
Wrens: 22, 18, 21, 23, 17, 23, 20, 19, 24, 13.
Dunnocks: 28, 24, 23, 19, 30, 27, 22, 25, 22, 17.
Represent the data in a back-to-back stem-and-leaf diagram with rows of width 5.

Find the survival rate for the wren chicks, given that 14 did not survive.

EASY
AS and A Level
IMPORTANT

This back-to-back stem-and-leaf diagram shows the percentage scores of the 25 students who were the top performers in an examination.
 

 Girls (12)  Boys (13) 41866321087788992590133445669

Key :1|8|2 represents 81% for a girl and 82% for a boy
The 25 students are arranged in a line in the order of their scores. Describe the student in the middle of the line and find the greatest possible number of boys in the line who are not standing next to a girl.

EASY
AS and A Level
IMPORTANT
In a particular city there are 51 buildings of historical interest. The following table presents the ages of these buildings, given to the nearest 50 years.
Age (years) 50-150 200-300 350-450 500-600
No. buildings f 15 18 12 6
Write down the lower and upper boundary values of the class containing the greatest number of buildings.
EASY
AS and A Level
IMPORTANT
In a particular city there are 51 buildings of historical interest. The following table presents the ages of these buildings, given to the nearest 50 years.
Age (years) 50-150 200-300 350-450 500-600
No. buildings f 15 18 12 6
State the widths of the four class intervals.