Here are the best measures to use for each question, along with the reasons why.
1) Mode
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Reason: You are looking for the "most popular" item. The mode tells you which value appears most often in a set of data (like shoe brands or styles).
2) Median
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Reason: The median is the exact middle number when all the marks are lined up in order. It splits the class perfectly into two halves: the top half and the bottom half.
3) Median
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Reason: The number 98 is much larger than the other numbers (it is an outlier). If you used the Mean (average), that one big number would pull the average up too high. The Median ignores extreme numbers and gives a better idea of what is "typical."
4) Mean
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Reason: To compare yourself with "everyone else," you need the arithmetic average. The mean takes every single student's mark into account to find the central value of the whole group.
5) Mean
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Reason: When comparing large groups of data like baby masses across different regions, the Mean is the standard measure used because it uses all the data points to give an accurate overall average.
6) Mode
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Reason: Hair colour is categorical data (names/categories, not numbers). You cannot add up colours to find a Mean or Median. The Mode simply tells you which colour appears most frequently.
7) Mode
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Reason: A shop owner needs to know which sizes sell the most to keep them in stock. The Mean might give you a size like "7.5" which doesn't exist, but the Mode tells you exactly which specific size is the most popular.
8) Range
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Reason: The question asks for the "spread." The Range is calculated by subtracting the smallest age from the largest age, showing how wide the spread of ages is.
9) Median
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Reason: Pocket money data often has outliers (one friend might get £50 while everyone else gets £5). The Median is better here because it isn't skewed by that one rich friend; it shows what a typical friend receives.
10) Mode
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Reason: In a vote, the winner is the person who receives the most votes. This is the definition of the Mode (the most frequent result).
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Final Answer:
1) Mode
2) Median
3) Median
4) Mean
5) Mean
6) Mode
7) Mode
8) Range
9) Median
10) Mode
Parent Tip: Review the logic above to help your child master the concept of mean worksheet.
