3p.12 Know and interpret the characteristics of a normal distribution Quiz: Pearson Edexcel Statistics, Unit 3

The 20 questions

1. What is the key shape characteristic of a normal distribution?

   • Bimodal peak
   • Bell-shaped
   • Uniformly flat
   • Positively skewed

2. In a standard normal distribution, which three measures are equal?

   • Mean, range, variance
   • Mean, median, mode
   • Median, mode, range
   • Quartiles, mean, mode

3. In the notation N(mu, sigma^2), what does sigma^2 represent?

   • Standard deviation
   • Variance
   • Median
   • Mean

4. What kind of data does a normal distribution model?

   • Discrete counts only
   • Ordinal ranks
   • Categorical data
   • Continuous data

5. How many peaks does the curve of a normal distribution have?

   • Zero
   • One
   • Three
   • Two

6. Is a normal distribution curve skewed?

   • Yes, negatively
   • Yes, positively
   • Depends on variance
   • No

7. A normal distribution has mean 50. What is its median?

   • 45
   • 25
   • 55
   • 50

8. Are normal distribution tables required for this GCSE Statistics course?

   • Provided in exam
   • Not expected
   • Always required
   • Memorised fully

9. Heights are normal with mean 170 cm. What is the median?

   • 165 cm
   • 180 cm
   • 160 cm
   • 170 cm

10. A bell-shaped distribution has mean 20 and mode 20. If it is normal, what is the median?

    • 18
    • 19
    • 20
    • 22

11. What shape is a standard normal distribution curve?

    • V shape
    • W shape
    • U shape
    • Bell shape

12. Test scores are normal with mean 60. What proportion are above 60?

    • 0.5
    • 1
    • 0.6
    • 0.25

13. Which type of data is best modelled by a normal distribution?

    • Shoe sizes
    • Car ownership
    • Adult heights
    • Family sizes

14. Two normal distributions have the same mean but different spreads. What differs between them?

    • The symmetry
    • The mode
    • The median
    • The standard deviation

15. Why is a normal distribution unsuitable for modelling family sizes?

    • Data are qualitative
    • Data are continuous
    • Data are discrete
    • Data are skewed

16. What is the relationship between mean, median and mode in a normal distribution?

    • Mode is largest
    • They are equal
    • Median is largest
    • Mean is largest

17. A symmetric distribution has a mean of 30 and a median of 35. Is it normal?

    • Maybe
    • Always
    • No
    • Yes

18. What key property makes continuous measurements suitable for normal models?

    • Symmetric clustering
    • Negative skew
    • Uniform spread
    • Positive skew

19. Which feature is essential for data to fit a normal distribution model?

    • Discrete data
    • Categorical data
    • Continuous data
    • Ranked data

20. For a normal distribution with mode 12, what is the mean?

    • 12
    • 14
    • 10
    • 6

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