L2-24 Estimate the mean of a grouped frequency distribution from discrete data Quiz: Pearson Edexcel Functional Skills Maths, Unit 2

The 20 questions

1. In the estimated mean of a grouped frequency table, what does f stand for?

   • Frequency
   • Final value
   • Factor
   • Field width

2. What is used to represent a grouped frequency interval in data calculations?

   • Range
   • Frequency
   • Median
   • Midpoint

3. Which quantity is multiplied by the frequency when estimating the mean?

   • Lower class boundary
   • Class width
   • Upper class boundary
   • Group midpoint

4. Why is the mean from a grouped frequency table only an estimate?

   • Frequencies are wrong
   • Data is continuous
   • Midpoints are random
   • Exact values unknown

5. Which symbol means 'the sum of'?

   • Sigma
   • Delta
   • Infinity
   • Pi

6. Which of these is an example of discrete data?

   • Time in seconds
   • Number of children
   • Height in metres
   • Mass in kilograms

7. What does frequency represent in a grouped frequency table?

   • Cumulative sum
   • Group total
   • Group count
   • Class midpoint

8. In the formula for estimated mean, what is the sum of f times x divided by?

   • Class width
   • Highest frequency
   • Number of groups
   • Total frequency

9. Groups 0 to 2 (frequency 4) and 3 to 5 (frequency 6) are given for a discrete variable. What is the estimated mean?

   • 3.0
   • 3.4
   • 2.8
   • 2.5

10. Books read: 1 to 3 (5 people), 4 to 6 (3 people) and 7 to 9 (2 people). What is the estimated mean?

    • 4.5
    • 3.8
    • 4.1
    • 5.0

11. Groups 1 to 3 (frequency 3), 4 to 6 (frequency 4) and 7 to 9 (frequency 3) are given. What is the estimated mean?

    • 5
    • 5.5
    • 4.5
    • 6

12. Costs: 1 to 10 (5 items) and 11 to 20 (5 items). What is the estimated mean cost?

    • 12.5
    • 10.5
    • 8.5
    • 11.0

13. What is the midpoint of the group 16 to 20?

    • 20
    • 36
    • 16
    • 18

14. Groups 0 to 4 (frequency 3) and 5 to 9 (frequency 2) have midpoints 2 and 7. What is the estimated total of all the values?

    • 10
    • 20
    • 5
    • 4

15. Shoe sizes are grouped as 4 to 5 (6 pairs), 6 to 7 (10 pairs) and 8 to 9 (4 pairs). What is the estimated mean size?

    • 6.3
    • 6.0
    • 6.5
    • 6.8

16. For the discrete group 0 to 9, what midpoint is used in the mean estimate?

    • 4
    • 9
    • 5
    • 4.5

17. Groups 10 to 14 (frequency 3), 15 to 19 (frequency 5) and 20 to 24 (frequency 2) are given. What is the estimated mean?

    • 16.5
    • 16
    • 18
    • 17

18. Groups 1 to 3 (frequency 5) and 7 to 9 (frequency 15) are given. What is the estimated mean?

    • 6.5
    • 7.0
    • 5.5
    • 5.0

19. Groups 0 to 4 (frequency 4) and 5 to 9 (frequency x) have an estimated mean of 5. What is x?

    • 6
    • 4
    • 7
    • 5

20. Groups 10 to 19 (frequency 6) and 20 to 29 (frequency 4) are given. What is the estimated mean?

    • 17.5
    • 18.5
    • 20.0
    • 19.5

Related quizzes

• Read, write, order and compare positive and negative numbers of any size Quiz · L2-1 · 20 questions
• Carry out calculations with numbers up to one million including strategies to check answers including estimation and approximation Quiz · L2-2 · 20 questions
• Evaluate expressions and make substitutions in given formulae in words and symbols Quiz · L2-3 · 20 questions
• Identify and know the equivalence between fractions, decimals and percentages Quiz · L2-4 · 20 questions
• Work out percentages of amounts and express one amount as a percentage of another Quiz · L2-5 · 20 questions
• Calculate percentage change (any size increase and decrease), and original value after percentage change Quiz · L2-6 · 20 questions
• Order, add, subtract and compare amounts or quantities using proper and improper fractions and mixed numbers Quiz · L2-7 · 20 questions
• Express one number as a fraction of another Quiz · L2-8 · 20 questions
• Order, approximate and compare decimals Quiz · L2-9 · 20 questions
• Add, subtract, multiply and divide decimals up to three decimal places Quiz · L2-10 · 20 questions