Data · JHS3 Mathematics

Lesson notes

Learning Objectives

Indicator: B9.4.1.2.3 - Demonstrate the effect on the mean, median, and mode when extreme data is included in a data set

By the end of the lesson, learners can:

Calculate the mean, median, and mode of a given data set before and after including an extreme value.
Compare the original measures of central tendency with the new measures after an extreme value has been added or replaced.
Explain in their own words why the mean is affected more by extreme values than the median or mode.
Justify which measure of central tendency best represents a data set that contains extreme values.
Predict the general effect on the mean, median, and mode when a very small or very large extreme value is introduced into a data set.

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Curriculum details

Strand: Handling Data (Strand 4)
Sub-strand: Data (4.1)
Content standard: B9.4.1.2 - Select, justify, and use appropriate methods of collecting data (quantitative and qualitative), organise and analyse the data (grouped/ungrouped) to interpret the results using the descriptive statistics (measures of central tendency and range).
Indicator: B9.4.1.2.3 - Demonstrate the effect on the mean, median, and mode when extreme data is included in a data set
Suggested placement: Term 3, Week 10 (Week 34 of the year)
Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.
Curriculum reference: Mathematics, Common Core Programme (JHS1-JHS3), 2023, p. 218
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g.1 Refer to E.g. 1 of B9.4.1.1.2.
i. Find the mean of the data, if one of the bulbs is replaced with a new bulb with lifespan of 300 hours, find the new mean of the bulbs and compare it to the original mean
ii. In small groups, find the mean of the data, if the lifespan of one of the bulbs tested was 70 hours, and compare it to the original mean.
iii. Continue to replace the values of the lifespan in the data with extreme values (small and large), calculate the mean, median, and mode and discuss the findings.