Maths: Applications and Interpretation · Statistics and probability. The idea in plain words, the rules to remember, the mistake to avoid and a worked example, written and checked by Mega Lecture.
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Measures of central tendency give one typical value for a set of data: the mean (the total shared equally), the median (the middle value when the data is in order) and the mode (the most common value).
Measures of dispersion tell you how spread out the data is: the range, the interquartile range, the standard deviation and the variance. A larger standard deviation means the values lie further from the mean.
When data is grouped into classes you do not know the exact values, so you use the mid-interval value of each class and the mean is only an estimate. In this course the standard deviation is found with technology, using the population value σ.
In a frequency table students divide Σfx by the number of rows, or take the median of the listed values without using the frequencies. Divide by the total frequency and count through the frequencies to find the middle value.
Answer: Mean 3.45 books; median 3.5 books.
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