Statistical Diagrams

Secondary 2 practice

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Statistical Diagrams practice questions

Secondary 2 topics, working towards the O-Level Mathematics 4052 syllabus. Every question below has a full worked solution.

When a student gets a question wrong in Math Amigo, it does not show the answer straight away. It reads the working, identifies the step that went wrong, and asks a question that points at the correction. The worked solution is there once a genuine attempt has been made.

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What this topic covers

Worked examples

Example 1

The frequency table below shows how many times per week 25 students drink bubble tea. What fraction of students drink bubble tea at most 2 times per week? Give your answer as a fraction in its simplest form.
Times per week0123456
Frequency14171101
Show the worked solution
  • Count drinking≤2:1+4+1\text{Count drinking} \leq 2: 1 + 4 + 1
  • =6= 6
  • Fraction=625\text{Fraction} = \frac{6}{25}

Answer: 6/256/25

Example 2

The back-to-back stem-and-leaf diagram below shows the daily screen times, in minutes, of two year groups. How much greater is the range for Year 2 than the range for Year 1?
Year 1StemYear 2
8 6 560 1 4 5 9
9 6 370 1 3 5 9
8 7 6 381 3 4 5 6
7 5 4 3 098

Key: 6 | 0 means 60 minutes

Show the worked solution
  • Range for Year 1=97−65\text{Range for Year 1} = 97 - 65
  • =32= 32
  • Range for Year 2=98−60\text{Range for Year 2} = 98 - 60
  • =38= 38
  • Difference=38−32\text{Difference} = 38 - 32
  • =6= 6

Answer: 66

Example 3

The grouped frequency table below shows the heights of students. Find the number of data values such that 170≤x<190170 \leq x < 190.
Height (x cm)Frequency
150 ≤ x < 1603
160 ≤ x < 17015
170 ≤ x < 18015
180 ≤ x < 1908
190 ≤ x < 20014
Show the worked solution
  • Class intervals in the range 170≤x<190:\text{Class intervals in the range } 170 \leq x < 190:
  • 170≤x<180: frequency =15170 \leq x < 180: \text{ frequency } = 15
  • 180≤x<190: frequency =8180 \leq x < 190: \text{ frequency } = 8
  • Total count=15+8\text{Total count} = 15 + 8
  • =23= 23

Answer: 2323

Questions parents ask

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Which syllabus does this follow?

O-Level Mathematics (4052), for Singapore secondary students. Math Amigo covers Secondary 1 to 4, both O-Level Mathematics and Additional Mathematics.

Will it just show my child the answer?

No. On a wrong answer it looks at the working, points to the step that went wrong, and asks a question that helps the student find the correction. The full worked solution is available after a genuine attempt.

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