Daily Practice · Foundation
October 2010 5-a-day
Printing for a group?
The batch download puts all 2 tiers' October 2010 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in October 2010
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 2010Using the same table (0:4, 1:10, 2:4, 3:2), find the mean number of siblings.
- 2nd October 2010The mean rainfall in April was 45 mm with a range of 20 mm; in May it was 45 mm with a range of 8 mm. Compare April and May.
- 3rd October 2010A cost index for electricity, relative to the same base year, was 120 in 2021 and 150 in 2023. Find the percentage increase in the cost of electricity from 2021 to 2023 (not from the base year).
- 4th October 2010The probability that a train is late is 0.15. Out of 200 trains, how many would you expect to be late?
- 5th October 2010The probability that a machine produces a faulty item is 0.04. Out of 300 items, how many would you expect to be faulty?
- 6th October 2010A box has 3 faulty bulbs out of 10. Two bulbs are chosen without replacement. Find the probability at least one is faulty.
- 7th October 2010In a pyramid, the bars for ages 65+ are unusually long compared with younger age bands. Give one possible reason.
- 8th October 2010A data set has mean 12, median 12, mode 12. Describe its skew.
- 9th October 2010A sample of 80 light bulbs from a batch of 2000 found 4 were faulty. Estimate the number of faulty bulbs in the whole batch.
- 10th October 2010The mean of 6 numbers is 15. Five of the numbers are 10, 12, 14, 18, 20. Find the sixth number.
- 11th October 2010State one advantage of random sampling.
- 12th October 2010What is meant by a control variable?
- 13th October 2010Values of 12, 18, 25, 31, 9, 22, 15 are grouped using intervals 0 <= x < 10, 10 <= x < 20, 20 <= x < 30, 30 <= x < 40. State the frequency of the interval 10 <= x < 20.
- 14th October 2010A pie chart shows four categories with angles 90, 120, 60 and x degrees. Find x.
- 15th October 2010Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.25. Find P(A or B).
- 16th October 2010Explain why estimating a y-value for x = 50 would be unreliable if all the plotted data only covers x-values from 0 to 20.
- 17th October 2010Two variables have a correlation coefficient close to 0. What does this suggest?
- 18th October 2010The Spearman's rank correlation coefficient between temperature and ice cream sales for 8 days is rs = 0.95. Describe the correlation.
- 19th October 2010A pilot survey shows that many respondents left a question blank. What might this suggest about the question?
- 20th October 2010A researcher records the exact temperature of 30 cups of tea to the nearest 0.1 degrees C. State the type of data, giving two features.
- 21st October 2010Group A has 4 items with mean 12. Group B has 4 items with mean 20. Find the combined mean.
- 22nd October 2010The number of pets owned by 15 households, recorded as collected, is: 0,1,2,1,0,3,1,2,0,1,1,2,0,1,2. Complete a frequency table for the number of pets and state the total frequency.
- 23rd October 2010A bar chart shows 3 bars: Dogs 12, Cats 9, Rabbits 5. How many pets are shown in total?
- 24th October 2010Using the same diagram (0|5 8, 1|2 2 6, 2|1), what is the range?
- 25th October 2010A cumulative frequency graph shows that a cumulative frequency of 45 corresponds to a value of 60 on the horizontal axis, out of 90 total data values. How many data values are above 60?
- 26th October 2010What is the purpose of the key on a choropleth map?
- 27th October 2010A data set of 50 exam scores has the 20th percentile at 42 marks and the 80th percentile at 78 marks. Explain what these two values tell you about the middle 60% of scores.
- 28th October 2010Which spreadsheet formula would you use to find the total of the values in cells B2 to B20?
- 29th October 2010A supermarket wants to know if a new till layout reduces queuing time. Write a suitable statistical question for the start of the enquiry cycle.
- 30th October 2010Give one disadvantage of an observation study.
- 31st October 2010Two classes have the same median test score. Class A has IQR = 6 and Class B has IQR = 15. Which class's scores are more consistent, and why?