Daily Practice · Higher
December 2021 5-a-day
Printing for a group?
The batch download puts all 2 tiers' December 2021 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in December 2021
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 2021The table shows ages, in years, of 50 people at a gym: 10-20 (freq 6), 20-30 (freq 18), 30-40 (freq 16), 40-50 (freq 10). Estimate the mean age.
- 2nd December 2021What is wrong with the question 'How old are you and do you smoke?'
- 3rd December 2021Find the 3-point moving average of 10, 14, 18.
- 4th December 2021P(A) = 0.4 and P(B) = 0.35, where A and B are mutually exclusive. Find P(A or B).
- 5th December 2021A histogram has bars of equal width. True or false: the height of each bar represents the frequency for that class.
- 6th December 2021Name the five values needed to draw a box plot.
- 7th December 2021A data set of 10 house prices, in thousands of pounds, has a mean of 210 without an outlier of 900 included, but a mean of 279 when the 900 is included. Explain why a statistician might exclude the 900 when reporting a typical house price.
- 8th December 2021A normally distributed data set has mean 40 and standard deviation 3. Estimate the percentage of values above 43.
- 9th December 2021A regression line y = 12 + 1.5x is used to predict y when x = 200, even though the original x-values ranged only from 5 to 20. Explain why this prediction may be unreliable.
- 10th December 2021A histogram has classes 20-25 (frequency density 4), 25-35 (frequency density 2.4), 35-50 (frequency density 1.6). Find the total number of data values represented.
- 11th December 2021A data set has Q1 = 12 and Q3 = 20. Calculate the IQR and the upper outlier boundary.
- 12th December 2021Out of 50 people surveyed, 20 like tea, 25 like coffee, and 10 like both. Find the probability that a randomly chosen person likes tea or coffee.
- 13th December 2021A class interval 0-10 has frequency 6. Find frequency x midpoint.
- 14th December 2021A survey question offers the response options 'Never, Sometimes, Always'. State one improvement that could be made.
- 15th December 2021Find the 4-point moving average of 12, 16, 20, 10.
- 16th December 2021Are 'rolling an even number' and 'rolling a 5' on a normal six-sided dice mutually exclusive?
- 17th December 2021A 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?
- 18th December 2021A box plot shows minimum 4 and maximum 36, with median 20. State the range of the data.
- 19th December 2021A 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.
- 20th December 2021A normal distribution has mean 50 and standard deviation 5. What range of values contains approximately 68% of the data?
- 21st December 2021For a data set, Sxy = 45 and Sxx = 60. Find the gradient b of the regression line.
- 22nd December 2021A histogram bar has height (frequency density) 2.5 and covers the interval 0-8. Find the frequency it represents.
- 23rd December 2021A 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.
- 24th December 2021In 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.
- 25th December 2021Find the midpoint of the class interval 10-20.
- 26th December 2021What is wrong with the question 'Do you not think school lunches are too expensive?'
- 27th December 2021What does a moving average smooth out in seasonal data, and what does the result reveal?
- 28th December 2021A card is drawn at random from a normal 52-card pack. Find P(drawing a King or a Queen).
- 29th December 2021A 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.
- 30th December 2021A box plot has lower quartile 10 and upper quartile 22. Find the interquartile range.
- 31st December 2021Test scores out of 50 are: 32, 28, 35, 30, 29, 31, 95. Which score cannot be correct, and why?