Mean, Mode and Median of a Frequency Distribution (Junior Cert Mathematics): Flashcards

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Mean, Mode and Median of a Frequency Distribution
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Frequency distribution definition

A way to organise data into a table showing how often values occur

Mode in statistics

The value that appears most often

Finding mode in frequency distribution

Look for the highest frequency, then find its corresponding value

Mean in statistics

The average - total divided by count

Mean formula for frequency distribution

(Value×Frequency)Total Frequency\frac{\sum(\text{Value} \times \text{Frequency})}{\text{Total Frequency}}

Why multiply value by frequency when finding mean

To calculate the total for each group

Median in statistics

The middle value when data is arranged in order

Finding median position in frequency distribution

Locate the middle position in the total frequency

Purpose of total frequency in median calculation

To know how many values there are and find the middle one

What does the highest frequency indicate

The mode - the most common value

Final step in calculating mean

Divide total of (value×frequency\text{value} \times \text{frequency}) by total frequency

Locating median group in frequency table

Add frequencies until you reach the median position

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