Median, Mean, Mode, Range from a Frequency Table

🎬 Video Tutorial

(0:50) Calculating the Mean from a Frequency Table: Multiply each value by its frequency, add these results, then divide by the total number of entries.
(1:27) Finding the Median with Frequency Table: Use the formula $\large \frac{N + 1}{2}$ to locate the median position in an ordered list. For example, if $N$ is 15, the median is the 8th value.
(2:27) Identifying the Mode in a Frequency Table: The mode is the value with the highest frequency.
(2:37) Calculating the Range: Subtract the smallest value from the largest value in the table.
(2:53) Effect of Outliers on Mean vs Median: Outliers can skew the mean, making it less representative, while the median is more stable and reflects the centre of the dataset reliably.

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Q: The table below shows the number of questions answered by students in a quiz. What is the median number of questions answered?

$A frequency table showing questions answered (5, 6, 7, 8) and their respective frequencies (2, 6, 5, 3), for calculating the median.$

6.5

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Q: The table below shows the marks scored by students in a quiz. What is the mean mark?

$A frequency table showing marks scored (10, 20, 30, 40) and their respective frequencies (2, 3, 4, 1), for calculating the mean.$

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Q: The table below shows the number of books borrowed by students from a library. What is the mean number of books borrowed?

$A frequency table showing the number of books borrowed (2, 3, 4) and their respective frequencies (4, 8, 4), for calculating the mean.$

2.5

3.5

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Q: The table below shows the number of pets owned by students. What is the median of the data?

$A frequency table showing the number of pets (0, 1, 2, 3) and their respective frequencies (3, 5, 4, 3), for calculating the median.$

1.5

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Q: The table below shows the number of hours students spend on homework. What is the range of the data?

$A frequency table showing hours spent (0, 1, 2, 3) and their respective frequencies (2, 6, 4, 3), with a range of 3 hours.$

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Q: The frequency table below shows the number of books read by students. What is the mode of the data?

$A frequency table showing the number of books (0, 1, 2) and their respective frequencies (5, 8, 4), where the mode is 1.$

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