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G10 Mathematics 2025-01

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If a fair six-sided die is rolled, the probability of it landing on an even number is 

The above scenario is an example of theoretical probability. 

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The example below shows a comparison of the amount of dirt removed by four brands of detergents (brands A to D).

Which brand of detergent performs the best? 

A graph comparing 4 box and whiskers diagrams. Diagram D: Left whisker starts at 11, left edge of box starts at 13, line within box at 14,75, right edge of box at 17 and the right whisker ends at 18. Diagram C: Left whisker starts at 15, left edge of box starts at 16, line within box at 18, right edge of box at 20 and the right whisker ends at 22. Diagram B: Left whisker starts at 12, left edge of box starts at 16, line within box at 18, right edge of box at 19 and the right whisker ends at 21. Diagram A: Left whisker starts at 10, left edge of box starts at 12, line within box at 14, right edge of box at 16 and the right whisker ends at 18.

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The five-number summary provides information about the spread and distribution of data, but it does not give any insights into the central tendency or average value of the dataset.

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A group of 20 students count the number of marbles they each have. These are the data they collect:

Calculate the range of values in the data set.

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The data set below has already been ordered for you. Find the item which corresponds to the 49th percentile.

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Match the measure of central tendency for an ungrouped data set with their definition.

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The table below is a frequency table which summarises 21 values. The data is grouped into four intervals.

 Interval  Frequency 

7
4
2
  8

Work out the mean, correct to one decimal place.

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The figure below shows a histogram which summarises a set of data values. The data values are real numbers. The data are grouped into four intervals. Answer the question below about the histogram. Solve to two decimal places.

A histogram of 4 groups of data, 0-5, 5-10, 10-15 and 15-20.. Group 0-5 has a frequency of 9. Group 5-10 has a frequency of 7. Group 10-15 has a frequency of 6. Group 15-20 has a frequency of 8.

Calculate the mean of this dataset

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A group of 20 students count the number of stones they each have. Here are the data values they collected:

How many students have less than four stones?

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Is the following statement True or False:

The description of a dataset is “various people's moods” – this data set is a quantitative dataset.

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