Daily Practice · Higher
January 2021 5-a-day
Printing for a group?
The batch download puts all 2 tiers' January 2021 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in January 2021
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 2021What does a moving average smooth out in seasonal data, and what does the result reveal?
- 2nd January 2021A card is drawn at random from a normal 52-card pack. Find P(drawing a King or a Queen).
- 3rd January 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.
- 4th January 2021A box plot has lower quartile 10 and upper quartile 22. Find the interquartile range.
- 5th January 2021Test scores out of 50 are: 32, 28, 35, 30, 29, 31, 95. Which score cannot be correct, and why?
- 6th January 2021The 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.
- 7th January 2021The equation of a regression line is y = 3 + 2x. Find y when x = 5.
- 8th January 2021A frequency table has intervals 0-10 (frequency 15) and 10-15 (frequency 20). Calculate the frequency density for each.
- 9th January 2021Using the data in the previous question, a delegate aged 65 attends. Is this delegate's age an outlier? Explain.
- 10th January 2021P(A) = 0.4, P(B) = 0.3, P(A and B) = 0.1. Find P(A or B).
- 11th January 2021Find the midpoint of the class interval 30-50.
- 12th January 2021Explain why a pilot survey should be carried out before the full survey is sent out.
- 13th January 2021Find the 3-point moving average of 14, 18, 20.
- 14th January 2021A 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).
- 15th January 2021Using the same histogram, how many students scored between 10 and 30 marks?
- 16th January 2021A 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?
- 17th January 2021A set of weekly pocket money amounts, in pounds, is: 5, 6, 5, 500, 7, 6. Identify the likely outlier.
- 18th January 2021IQ scores are normally distributed with mean 100 and standard deviation 15. Out of 1000 people, estimate how many have an IQ above 130.
- 19th January 2021A PMCC value of r = 0.85 is calculated for two variables. Describe the strength and direction of the correlation.
- 20th January 2021Two intervals both have frequency 30: one has width 5 and one has width 15. Explain which interval has the taller histogram bar, and why.
- 21st January 2021A data set has Q1 = 15 and Q3 = 45. Calculate both outlier boundaries.
- 22nd January 2021P(A) = 0.55 and P(B) = 0.4. Events A and B are mutually exclusive. Find P(A or B).
- 23rd January 2021A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
- 24th January 2021Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
- 25th January 2021Find the 4-point moving average of 8, 12, 16, 20.
- 26th January 2021P(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).
- 27th January 2021A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
- 28th January 2021Box 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?
- 29th January 2021A data set of ages is: 12, 13, 12, 14, -12, 13. Which value is clearly an error, and why?
- 30th January 2021A normal distribution has mean 100 and standard deviation 15. What range contains approximately 95% of the data?
- 31st January 2021A PMCC value of r = -0.2 is calculated. Describe the correlation.