Daily Practice · Higher

February 2002 5-a-day

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February 2002

28 sheets · 140 questions · Higher tier

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Every sheet in February 2002

The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.

  1. 1st February 2002A box plot has lower quartile 10 and upper quartile 22. Find the interquartile range.
  2. 2nd February 2002Test scores out of 50 are: 32, 28, 35, 30, 29, 31, 95. Which score cannot be correct, and why?
  3. 3rd February 2002The masses of 500 apples are normally distributed with mean 120 g and standard deviation 10 g. Estimate the number of apples with a mass between 110 g and 130 g.
  4. 4th February 2002The equation of a regression line is y = 3 + 2x. Find y when x = 5.
  5. 5th February 2002A frequency table has intervals 0-10 (frequency 15) and 10-15 (frequency 20). Calculate the frequency density for each.
  6. 6th February 2002Using the data in the previous question, a delegate aged 65 attends. Is this delegate's age an outlier? Explain.
  7. 7th February 2002P(A) = 0.4, P(B) = 0.3, P(A and B) = 0.1. Find P(A or B).
  8. 8th February 2002Find the midpoint of the class interval 30-50.
  9. 9th February 2002Explain why a pilot survey should be carried out before the full survey is sent out.
  10. 10th February 2002Find the 3-point moving average of 14, 18, 20.
  11. 11th February 2002A game has four mutually exclusive outcomes: win, draw, lose, abandoned. P(win) = 0.45, P(draw) = 0.2, P(abandoned) = 0.05. Find P(lose).
  12. 12th February 2002Using the same histogram, how many students scored between 10 and 30 marks?
  13. 13th February 2002A box plot for 40 values has lower quartile 15 and upper quartile 25. Roughly how many of the 40 values lie between 15 and 25?
  14. 14th February 2002A set of weekly pocket money amounts, in pounds, is: 5, 6, 5, 500, 7, 6. Identify the likely outlier.
  15. 15th February 2002IQ scores are normally distributed with mean 100 and standard deviation 15. Out of 1000 people, estimate how many have an IQ above 130.
  16. 16th February 2002A PMCC value of r = 0.85 is calculated for two variables. Describe the strength and direction of the correlation.
  17. 17th February 2002Two intervals both have frequency 30: one has width 5 and one has width 15. Explain which interval has the taller histogram bar, and why.
  18. 18th February 2002A data set has Q1 = 15 and Q3 = 45. Calculate both outlier boundaries.
  19. 19th February 2002P(A) = 0.55 and P(B) = 0.4. Events A and B are mutually exclusive. Find P(A or B).
  20. 20th February 2002A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
  21. 21st February 2002Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  22. 22nd February 2002Find the 4-point moving average of 8, 12, 16, 20.
  23. 23rd February 2002P(rain) = 0.3 and P(snow) = 0.05 on a given day, and rain and snow are mutually exclusive that day. Find P(rain or snow).
  24. 24th February 2002A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  25. 25th February 2002Box plot A has a median of 50 and box plot B has a median of 42, for the same type of data. What does this tell you about the two data sets?
  26. 26th February 2002A data set of ages is: 12, 13, 12, 14, -12, 13. Which value is clearly an error, and why?
  27. 27th February 2002A normal distribution has mean 100 and standard deviation 15. What range contains approximately 95% of the data?
  28. 28th February 2002A PMCC value of r = -0.2 is calculated. Describe the correlation.

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