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Statistics and Probability
Quick questions on Averages: mean, median and mode explained: N(A)-Level Mathematics Statistics and Probability
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?Show answer
The mean is the everyday "average": add up all the values and divide by how many there are.
What is the median?Show answer
The median is the middle value when the data is arranged in order. If there is an even number of values, the median is the mean of the two middle ones.
What is the mode?Show answer
The mode is the value that appears most often. A data set can have one mode, more than one mode, or no mode if all values appear equally. The mode is the only average that works for non-numerical data, such as the most common colour.
What is the range?Show answer
The range measures spread, not average:
What is averages from a frequency table?Show answer
When data is given in a frequency table, the same ideas apply. The mode is the value with the highest frequency. The median is found by counting through the frequencies to the middle position. The mean is the total of (value times frequency) divided by the total frequency.
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