Daily Practice · Foundation
December 2023 5-a-day
Printing for a group?
The batch download puts all 2 tiers' December 2023 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in December 2023
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 2023Explain why estimating a y-value for x = 50 would be unreliable if all the plotted data only covers x-values from 0 to 20.
- 2nd December 2023Two variables have a correlation coefficient close to 0. What does this suggest?
- 3rd December 2023The Spearman's rank correlation coefficient between temperature and ice cream sales for 8 days is rs = 0.95. Describe the correlation.
- 4th December 2023A pilot survey shows that many respondents left a question blank. What might this suggest about the question?
- 5th December 2023A 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.
- 6th December 2023Group A has 4 items with mean 12. Group B has 4 items with mean 20. Find the combined mean.
- 7th December 2023The 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.
- 8th December 2023A bar chart shows 3 bars: Dogs 12, Cats 9, Rabbits 5. How many pets are shown in total?
- 9th December 2023Using the same diagram (0|5 8, 1|2 2 6, 2|1), what is the range?
- 10th December 2023A 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?
- 11th December 2023What is the purpose of the key on a choropleth map?
- 12th December 2023A 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.
- 13th December 2023Which spreadsheet formula would you use to find the total of the values in cells B2 to B20?
- 14th December 2023A supermarket wants to know if a new till layout reduces queuing time. Write a suitable statistical question for the start of the enquiry cycle.
- 15th December 2023Give one disadvantage of an observation study.
- 16th December 2023Two 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?
- 17th December 2023A pictogram has a key of 1 symbol = 4 people. A town has 22 people who play chess. How many symbols, including any part-symbol, should be drawn?
- 18th December 2023Using two fair six-sided dice added together, how many ways can you score a total of 7?
- 19th December 2023Find the midpoint of the class interval 10-20.
- 20th December 2023A company's yearly profits are 10, 12, 11, 15, 14 thousand pounds over five years. Describe the general trend.
- 21st December 2023Out of 200 people who ate a certain meal, 10 became ill. What is the risk of becoming ill, as a fraction in its simplest form?
- 22nd December 2023A class has 12 boys and 8 girls. One student, a girl, leaves the room. A second student is then chosen at random from those remaining. Find P(second student chosen is a girl given the first was a girl).
- 23rd December 2023A newspaper bar chart showing company profit over 5 years has no vertical axis labels or scale, just bars of different heights. Explain the problem with this.
- 24th December 2023Find the midpoint of the class interval 30-50.
- 25th December 2023What is wrong with the question 'Do you not think school lunches are too expensive?'
- 26th December 2023Find the 3-point moving average of 14, 18, 20.
- 27th December 2023A card is drawn at random from a normal 52-card pack. Find P(drawing a King or a Queen).
- 28th December 2023A 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?
- 29th December 2023Name the five values needed to draw a box plot.
- 30th December 2023Give one reason you might choose to keep an outlier in a data set rather than remove it.
- 31st December 2023A region records 90 crimes in a population of 45,000. Find the crude crime rate per 1000 people.