Daily Practice · Higher
August 1997 5-a-day
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The batch download puts all 2 tiers' August 1997 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in August 1997
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1997Using the same histogram, how many students scored between 10 and 30 marks?
- 2nd August 1997A 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?
- 3rd August 1997A set of weekly pocket money amounts, in pounds, is: 5, 6, 5, 500, 7, 6. Identify the likely outlier.
- 4th August 1997IQ scores are normally distributed with mean 100 and standard deviation 15. Out of 1000 people, estimate how many have an IQ above 130.
- 5th August 1997A PMCC value of r = 0.85 is calculated for two variables. Describe the strength and direction of the correlation.
- 6th August 1997Two intervals both have frequency 30: one has width 5 and one has width 15. Explain which interval has the taller histogram bar, and why.
- 7th August 1997A data set has Q1 = 15 and Q3 = 45. Calculate both outlier boundaries.
- 8th August 1997P(A) = 0.55 and P(B) = 0.4. Events A and B are mutually exclusive. Find P(A or B).
- 9th August 1997A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
- 10th August 1997Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
- 11th August 1997Find the 4-point moving average of 8, 12, 16, 20.
- 12th August 1997P(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).
- 13th August 1997A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
- 14th August 1997Box 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?
- 15th August 1997A data set of ages is: 12, 13, 12, 14, -12, 13. Which value is clearly an error, and why?
- 16th August 1997A normal distribution has mean 100 and standard deviation 15. What range contains approximately 95% of the data?
- 17th August 1997A PMCC value of r = -0.2 is calculated. Describe the correlation.
- 18th August 1997A class interval 10-30 (width 20) has frequency density 3. Find the frequency.
- 19th August 1997A 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.
- 20th August 1997P(A) = 0.6, P(A or B) = 0.75, and P(A and B) = 0.2. Find P(B).
- 21st August 1997The table shows weights, in kg, of 20 parcels: 0-5 (freq 4), 5-10 (freq 10), 10-15 (freq 6). Estimate the mean weight.
- 22nd August 1997Rewrite the response options '0-5, 5-10, 10-15' so that they no longer overlap.
- 23rd August 1997A series of 4-point moving averages is 45, 48, 52, 55. Describe the trend shown by these values.
- 24th August 1997A bag has only red, blue and green counters. P(red) = 0.5 and P(blue) = 0.2. Find P(green).
- 25th August 1997State one reason why a histogram has no gaps between its bars, unlike a bar chart.
- 26th August 1997Box 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?
- 27th August 1997Using 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.
- 28th August 1997Test scores are normally distributed with mean 65 and standard deviation 8. Estimate the percentage of students scoring between 65 and 81.
- 29th August 1997For a data set, Sxy = 30, Sxx = 50, Syy = 40. Calculate the PMCC to 3 significant figures.
- 30th August 1997A class interval has width 5 and frequency 20. Find the frequency density.
- 31st August 1997A data set has Q1 = 20 and Q3 = 32. Is a value of 55 an outlier? Use the 1.5 x IQR rule.