Comparing Data presented in
Frequency Tables
Choose a level
Comparing Data presented in
Frequency Tables
1 Star Question
The National Curriculum levels in Mathematics for some
students in Year 9 were recorded in the following table
Level (L)
Number of
Students (N)
3
0
4
4
5
4
6
9
7
8
8
5
Total
Explain how you know there are 30 students?
Complete this list showing the level for each of the
students: 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, …
What is the median level achieved by a student?
The National Curriculum levels in Mathematics for some
students in Year 9 were recorded in the following table
Level (L)
Number of
Students (N)
3
0
4
4
5
4
6
9
7
8
8
5
Sub totals (N x L)
Total
Complete the sub totals column.
Add up the Sub totals to find the total of the levels
of the students?
What is the mean level achieved by each student?
The 30 students also study both French and Spanish
The National Curriculum levels are shown in the following
table
Level in French
Level in Spanish
Complete the table below for French
Level (L)
Number of
Students (N)
1
2
3
4
5
6
What is the median level achieved in French?
Complete the table below for French and Spanish
Level (L)
Number of
French Students
Number of
Spanish Students
1
2
3
4
5
6
Are students better at French or Spanish and how
can you tell?
End of Problem
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Comparing Data presented in
Frequency Tables
2 Star Question
The National Curriculum levels in Mathematics for some
students in Year 9 were recorded in the following table
Level (L)
Number of
Students (N)
3
0
4
4
5
4
6
9
7
8
8
5
Total
How many students results were collected?
What is the median level achieved by a student?
The National Curriculum levels in Mathematics for some
students in Year 9 were recorded in the following table
Level (L)
Number of
Students (N)
3
0
4
4
5
4
6
9
7
8
8
5
Sub totals (N x L)
Total
Complete the table above.
What is the mean level achieved by each student?
The 30 students also study both French and Spanish
The National Curriculum levels are shown in the following
table
Level in French
Level in Spanish
Complete the table below for French
Level (L)
Number of
Students (N)
1
2
3
4
5
6
What is the median level achieved in French?
Complete the table below for French and Spanish
Level (L)
Number of
French Students
Number of
Spanish Students
1
2
3
4
5
6
Are students better at French or Spanish and how
can you tell?
End of Problem
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Comparing Data presented in
Frequency Tables
3 Star Question
The National Curriculum levels in Mathematics for some
students in Year 9 were recorded in the following table
Level (L)
Number of
Students (N)
3
0
4
4
5
4
6
9
7
8
8
5
Total
What is the median level achieved by a student?
The National Curriculum levels in Mathematics for some
students in Year 9 were recorded in the following table
Level (L)
Number of
Students (N)
3
0
4
4
5
4
6
9
7
8
8
5
Sub totals (N x L)
Total
Complete the table above.
What is the mean level achieved by each student?
The 30 students also study both French and Spanish
The National Curriculum levels are shown in the following
table
Level in French
Level in Spanish
Complete the table below for French
Level (L)
Number of
Students (N)
1
2
3
4
5
6
What is the median level achieved in French?
Explain clearly how you obtained your answer.
Level in French
Level in Spanish
Are students better at French or Spanish and how
can you tell?
End of Problem
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Comparing Data presented in
Frequency Tables
4 Star Question
The National Curriculum levels in Mathematics for some
students in Year 9 were recorded in the following table
Level (L)
Number of
Students (N)
3
0
4
4
5
4
6
9
7
8
8
5
What is the median level achieved by a student?
The National Curriculum levels in Mathematics for some
students in Year 9 were recorded in the following table
Level (L)
Number of
Students (N)
3
0
4
4
5
4
6
9
7
8
8
5
What is the mean level achieved by each student?
The students also study both French and Spanish
The National Curriculum levels are shown in the following
table
Level in French
Level in Spanish
What is the median level achieved in French?
Explain clearly how you obtained your answer.
Are students better at French or Spanish and how
can you tell?
End of Problem
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Comparing Data presented in
Frequency Tables
5 Star Question
The National Curriculum levels in Mathematics for some
students in Year 9 were recorded in the following table
Level (L)
Number of
Students (N)
3
0
4
4
5
4
6
9
7
8
8
5
What is the mean level achieved by each student?
The students also study both French and Spanish
The National Curriculum levels are shown in the following
table
Level in French
Level in Spanish
What is the median level achieved in French?
Explain clearly how you obtained your answer.
Are students better at French or Spanish and how
can you tell?
Give as many clearly explained reasons as you can.
End of Problem
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