Daily Practice · Higher

February 2003 5-a-day

← Today's Higher sheet

February 2003

28 sheets · 140 questions · Higher tier

Printing for a group?

The batch download puts all 2 tiers' February 2003 sheets in a single PDF, each tier behind its own divider page - 56 sheets in one file.

Every sheet in February 2003

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 2003Using the data in the previous question, a delegate aged 65 attends. Is this delegate's age an outlier? Explain.
  2. 2nd February 2003P(A) = 0.4, P(B) = 0.3, P(A and B) = 0.1. Find P(A or B).
  3. 3rd February 2003Find the midpoint of the class interval 30-50.
  4. 4th February 2003Explain why a pilot survey should be carried out before the full survey is sent out.
  5. 5th February 2003Find the 3-point moving average of 14, 18, 20.
  6. 6th February 2003A 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).
  7. 7th February 2003Using the same histogram, how many students scored between 10 and 30 marks?
  8. 8th February 2003A 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?
  9. 9th February 2003A set of weekly pocket money amounts, in pounds, is: 5, 6, 5, 500, 7, 6. Identify the likely outlier.
  10. 10th February 2003IQ scores are normally distributed with mean 100 and standard deviation 15. Out of 1000 people, estimate how many have an IQ above 130.
  11. 11th February 2003A PMCC value of r = 0.85 is calculated for two variables. Describe the strength and direction of the correlation.
  12. 12th February 2003Two intervals both have frequency 30: one has width 5 and one has width 15. Explain which interval has the taller histogram bar, and why.
  13. 13th February 2003A data set has Q1 = 15 and Q3 = 45. Calculate both outlier boundaries.
  14. 14th February 2003P(A) = 0.55 and P(B) = 0.4. Events A and B are mutually exclusive. Find P(A or B).
  15. 15th February 2003A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
  16. 16th February 2003Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  17. 17th February 2003Find the 4-point moving average of 8, 12, 16, 20.
  18. 18th February 2003P(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).
  19. 19th February 2003A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  20. 20th February 2003Box 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?
  21. 21st February 2003A data set of ages is: 12, 13, 12, 14, -12, 13. Which value is clearly an error, and why?
  22. 22nd February 2003A normal distribution has mean 100 and standard deviation 15. What range contains approximately 95% of the data?
  23. 23rd February 2003A PMCC value of r = -0.2 is calculated. Describe the correlation.
  24. 24th February 2003A class interval 10-30 (width 20) has frequency density 3. Find the frequency.
  25. 25th February 2003A cumulative frequency graph for 100 test scores gives Q1 = 40, median = 58, Q3 = 70, minimum = 5, maximum = 98. Determine which of the minimum and maximum should be plotted as individual outliers.
  26. 26th February 2003P(A) = 0.6, P(A or B) = 0.75, and P(A and B) = 0.2. Find P(B).
  27. 27th February 2003The table shows weights, in kg, of 20 parcels: 0-5 (freq 4), 5-10 (freq 10), 10-15 (freq 6). Estimate the mean weight.
  28. 28th February 2003Rewrite the response options '0-5, 5-10, 10-15' so that they no longer overlap.

The same month at another level