Daily Practice · Higher
December 2024 5-a-day
Printing for a group?
The batch download puts all 2 tiers' December 2024 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in December 2024
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 2024A histogram for exam scores has bars of equal width 10 marks, covering 0-10, 10-20, 20-30, 30-40, with heights 2, 8, 15, 5. How many students took the exam?
- 2nd December 2024A box plot shows minimum 4 and maximum 36, with median 20. State the range of the data.
- 3rd December 2024A data set has lower quartile Q1 = 20 and upper quartile Q3 = 32. Using the rule 'outlier if more than 1.5 x IQR beyond Q1 or Q3', find the outlier boundaries.
- 4th December 2024A normal distribution has mean 50 and standard deviation 5. What range of values contains approximately 68% of the data?
- 5th December 2024For a data set, Sxy = 45 and Sxx = 60. Find the gradient b of the regression line.
- 6th December 2024A histogram bar has height (frequency density) 2.5 and covers the interval 0-8. Find the frequency it represents.
- 7th December 2024A cumulative frequency table gives Q1 = 18, median = 25, Q3 = 34 for the ages of 60 people at a conference. Calculate the IQR and state the upper outlier boundary.
- 8th December 2024In a group of 40 students, 22 play football, 18 play rugby, and P(football or rugby) = 0.85. Find the number of students who play both sports.
- 9th December 2024Find the midpoint of the class interval 10-20.
- 10th December 2024What is wrong with the question 'Do you not think school lunches are too expensive?'
- 11th December 2024What does a moving average smooth out in seasonal data, and what does the result reveal?
- 12th December 2024A card is drawn at random from a normal 52-card pack. Find P(drawing a King or a Queen).
- 13th December 2024A histogram of ages has 5 equal-width bars covering 0-10, 10-20, 20-30, 30-40, 40-50 with heights 3, 7, x, 9, 2, and a total of 35 people. Find x.
- 14th December 2024A box plot has lower quartile 10 and upper quartile 22. Find the interquartile range.
- 15th December 2024Test scores out of 50 are: 32, 28, 35, 30, 29, 31, 95. Which score cannot be correct, and why?
- 16th December 2024The 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.
- 17th December 2024The equation of a regression line is y = 3 + 2x. Find y when x = 5.
- 18th December 2024A frequency table has intervals 0-10 (frequency 15) and 10-15 (frequency 20). Calculate the frequency density for each.
- 19th December 2024Using the data in the previous question, a delegate aged 65 attends. Is this delegate's age an outlier? Explain.
- 20th December 2024P(A) = 0.4, P(B) = 0.3, P(A and B) = 0.1. Find P(A or B).
- 21st December 2024Find the midpoint of the class interval 30-50.
- 22nd December 2024Explain why a pilot survey should be carried out before the full survey is sent out.
- 23rd December 2024Find the 3-point moving average of 14, 18, 20.
- 24th December 2024A 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).
- 25th December 2024Using the same histogram, how many students scored between 10 and 30 marks?
- 26th December 2024A 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?
- 27th December 2024A set of weekly pocket money amounts, in pounds, is: 5, 6, 5, 500, 7, 6. Identify the likely outlier.
- 28th December 2024IQ scores are normally distributed with mean 100 and standard deviation 15. Out of 1000 people, estimate how many have an IQ above 130.
- 29th December 2024A PMCC value of r = 0.85 is calculated for two variables. Describe the strength and direction of the correlation.
- 30th December 2024Two intervals both have frequency 30: one has width 5 and one has width 15. Explain which interval has the taller histogram bar, and why.
- 31st December 2024A data set has Q1 = 15 and Q3 = 45. Calculate both outlier boundaries.