Daily Practice · Higher
June 2023 5-a-day
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The batch download puts all 2 tiers' June 2023 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.
Every sheet in June 2023
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2023IQ scores are normally distributed with mean 100 and standard deviation 15. Out of 1000 people, estimate how many have an IQ above 130.
- 2nd June 2023A PMCC value of r = 0.85 is calculated for two variables. Describe the strength and direction of the correlation.
- 3rd June 2023Two intervals both have frequency 30: one has width 5 and one has width 15. Explain which interval has the taller histogram bar, and why.
- 4th June 2023A data set has Q1 = 15 and Q3 = 45. Calculate both outlier boundaries.
- 5th June 2023P(A) = 0.55 and P(B) = 0.4. Events A and B are mutually exclusive. Find P(A or B).
- 6th June 2023A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
- 7th June 2023Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
- 8th June 2023Find the 4-point moving average of 8, 12, 16, 20.
- 9th June 2023P(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).
- 10th June 2023A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
- 11th June 2023Box 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?
- 12th June 2023A data set of ages is: 12, 13, 12, 14, -12, 13. Which value is clearly an error, and why?
- 13th June 2023A normal distribution has mean 100 and standard deviation 15. What range contains approximately 95% of the data?
- 14th June 2023A PMCC value of r = -0.2 is calculated. Describe the correlation.
- 15th June 2023A class interval 10-30 (width 20) has frequency density 3. Find the frequency.
- 16th June 2023A 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.
- 17th June 2023P(A) = 0.6, P(A or B) = 0.75, and P(A and B) = 0.2. Find P(B).
- 18th June 2023The table shows weights, in kg, of 20 parcels: 0-5 (freq 4), 5-10 (freq 10), 10-15 (freq 6). Estimate the mean weight.
- 19th June 2023Rewrite the response options '0-5, 5-10, 10-15' so that they no longer overlap.
- 20th June 2023A series of 4-point moving averages is 45, 48, 52, 55. Describe the trend shown by these values.
- 21st June 2023A bag has only red, blue and green counters. P(red) = 0.5 and P(blue) = 0.2. Find P(green).
- 22nd June 2023State one reason why a histogram has no gaps between its bars, unlike a bar chart.
- 23rd June 2023Box plot A has an interquartile range of 8 and box plot B has an interquartile range of 15. What does this tell you about the spread of the middle 50 percent of each data set?
- 24th June 2023Using the boundaries from the previous question (2 and 50), state whether a value of 55 in the data set would be classed as an outlier.
- 25th June 2023Test scores are normally distributed with mean 65 and standard deviation 8. Estimate the percentage of students scoring between 65 and 81.
- 26th June 2023For a data set, Sxy = 30, Sxx = 50, Syy = 40. Calculate the PMCC to 3 significant figures.
- 27th June 2023A class interval has width 5 and frequency 20. Find the frequency density.
- 28th June 2023A data set has Q1 = 20 and Q3 = 32. Is a value of 55 an outlier? Use the 1.5 x IQR rule.
- 29th June 2023P(A) = 1/2, P(B) = 1/3, P(A and B) = 1/6. Find P(A or B).
- 30th June 2023The 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.