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NSWMaths Standard 2Quick questions

Year 11: Data Analysis

Quick questions on Measures of central tendency for HSC Maths Standard 2

5short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is the mean?
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The mean of a list is the total of all the values divided by the number of values:
What is the median?
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The median is the middle value of the ordered data. Always sort the data first. Then:
What is the mode?
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The mode is the value (or category) that occurs most often. For 36,37,38,38,38,39,40,40,4236, 37, 38, 38, 38, 39, 40, 40, 42 the value 3838 occurs three times, more than any other, so the mode is 3838. A data set can have:
What is estimating the mean from grouped data?
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Sometimes data is grouped into class intervals (for example 0 to 100\text{ to }10, 10 to 2010\text{ to }20) and the individual values are lost. To estimate the mean you replace each class by its class centre, the midpoint of the interval:
What is choosing the most appropriate measure?
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Different data sets call for different measures. The deciding factors are outliers and skew:

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