1. Data can be grouped into classes such as 1-5, 6-10, 11-15, ...
Each class is known as a class interval
2. Range of the class interval is the difference between the smallest and the largest values.
2. Range of the class interval is the difference between the smallest and the largest values.
Range of class interval = Upper limit – Lower limit
3. For a class interval such as 1-5, the number 1 is called the lower limit and the number 5 is called the upper limit. 0.5 is the lower boundary and 5.5 is the upper boundary.
4. 4. Class size or size of the class interval = Upper boundary – Lower boundary
5. 5. Modal class is the class with highest frequency.
6. 6. Midpoint of a class = Lower limit + Upper limit
2
2
1. 7. Mean of a grouped data, where f is its frequency and x is the midpoint of a class. ∑ means ‘sum of’.
8. Histogram is a graphical representation of a frequency distribution.
1. Horizontal axis can be labeled with midpoints or class boundaries or class intervals.
9. Frequency polygon is another graphical representation of a frequency distribution.
10. The cumulative frequency of a data or a class interval in a frequency table is the sum of its frequency and the total frequency of the entire class interval before it.
11. An ogive or cumulative frequency curve is a graphical representation of a cumulative frequency table.
1. 12. For ungrouped data, Range = Largest value – Smallest value
For example: 2, 4, 1, 8, 10, 7, 13, 5
Range = 13 – 1 = 12
For grouped data, Range = Midpoint of the last class interval – Midpoint of the first class interval
For example:
For example: 2, 4, 1, 8, 10, 7, 13, 5
Range = 13 – 1 = 12
For grouped data, Range = Midpoint of the last class interval – Midpoint of the first class interval
For example:
Mass (g) | 4 - 8 | 9 - 13 | 14 - 18 | 19 - 23 | 24 – 28 |
Frequency | 3 | 6 | 12 | 5 | 2 |
Range = 24 + 28 _ 4 + 8
2 2
= 26 – 6
= 20
2 2
= 26 – 6
= 20
by: Mawar Ayu
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