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CHAPTER 6STATISTICS

Class Interval

Highest valueLowest value

Upper Limit & Lower Limit

Upper Limit The highest value in the class

Lower Limit The lowest value in the class

Upper Boundary & Lower Boundary

Lower Boundary =

Upper Boundary =

Mode, Midpoint, Mean

Mode (Modal Class/ Class Mode)The value that occurs MOST frequently

Midpoint

Midpoint =

(upper limit + lower limit)

=

(upper boundary + lower boundary)

MeanAverage value of the data

Mean = ( ) ()

()

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= The midpoint of the highest class MINUS the midpoint of the lowest class

Eg.

Midpoint of highest class =

= 5.35

Midpoint of lowestclass =

= 3.35

Range= 5.353.35

= 2 m

3. Lower / First Quartile, Q1= the value at which 25% of the data is less than it.

4. Median= the middle value when the data is arranged in order of size.

5. Upper / Third Quartile Q3= the value at which 75% of the data is less than it.

6. Interquartile Range Q4= Third quartilefirst quartile

Note: f is the frequency. Note that an extra class interval is added.F ir st quartile, MedianandThird Quartilecan be found through the OGIVE.

In order to get the accurate answer, the ogive sketched has to be an accurate smooth curve.

Prepared by,

( )Date:

Long Jump Record (meter) Frequency

3.23.53.63.9

4.04.34.44.7

4.85.15.25.5

13

1210

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