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Calculate the mean and standard deviation of a data set, including finding the mean of a second data set formed by combining two data sets with known means and standard deviations.

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Cambridge IGCSE StatisticsTransformations of data sets

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Calculate the mean and standard deviation of a data set, including finding the mean of a second data set formed by combining two data sets with known means and standard deviations

This point belongs to Transformations of data sets, especially Transformations of data sets outcomes.
You need to be able to calculate the mean and standard deviation of a data set, including finding the mean of a second data set formed by combining two data sets with known means and standard deviations.
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CalculateDetermine

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Paper 1Statistical Techniques5 marks

Data Table

Product Sales

The table shows the number of products sold each day.

Day	Products Sold
Monday	12
Tuesday	15
Wednesday	14
Thursday	19

a
Calculate the mean number of products sold per day.
Your answer
Aim for approximately 2 distinct marking points.
[2]
b
Calculate the standard deviation of the products sold.
Your answer
Aim for approximately 3 distinct marking points.
[3]

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Related learning objectives

Recognize how adding a constant to each data point and multiplying each data point by a constant affects the mean and standard deviation.
Transformations of data sets outcomes
Recognize how adding a constant to each data point and multiplying each data point by a constant affects the median and interquartile range.
Transformations of data sets outcomes
Understand how introducing new values or removing existing values from a distribution affects a statistical measure, such as whether the median increases, decreases, or remains unchanged.
Transformations of data sets outcomes
Utilize means and standard deviations of distributions to scale data values for comparison and interpretation, including standardizing data to a mean of 0 and a standard deviation of 1.
Transformations of data sets outcomes
Compare distributions by examining measures of central tendency and dispersion, such as identifying which distribution has higher values or is more consistent based on known means and standard deviations.
Transformations of data sets outcomes

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