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### Frequency tables - discrete data and summary statistics

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Frequency tables - discrete data and summary statistics

A frequency table and graph are summaries of the results of an activity.
You can use these tables or graphs to discover or estimate the:

* mode;

* median;

* mean;

* quartiles; and

* inter-quartile range.

These are the results from 20 rolls of a die. Fill in the key summary
statistics for this data once you have made the calculation

DIE RESULT
FREQUENCY

1
1

2
5

3
4

4
4

5
3

6
3

TOTAL = 20

Mode = ?

Mean = ?

Lower quartile = ?

Median = ?

Upper quartile = ?

Interquartile range = ?

Which score occurs most often? The mode = 2.

Add up all the values and divide by 20 (the number of rolls of the die).
Mean = 3.6.

Which score has 25% of the results below it? Lower quartile = 2.

Which score is the middle value? For 20 scores the middle value is between
the tenth and eleventh score in order from the lowest to highest. Median =
3.5.

Which score has 75% of the results below it? Upper quartile = 5.

What is the difference between the upper and lower quartiles?
Interquartile range = 3.

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