Statistics II

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In today’s class, we will be talking more about statistics. Enjoy the class!

Statistics II

Cumulative Frequency Curve

The cumulative frequency curve is also called the OGIVE. It is the graph of the cumulative frequency against the upper class boundary.

Example

The table below shows the height of 200 people who were randomly picked.

Heights(cm)	145  -149	150 –  154	155  – 159	160   – 164	165  – 169	170 -174	175 –  179
Frequency	5	18	50	29	80	14	4

Construct for the distribution above, a cumulative frequency curve.

Solution

Heights	Frequency	Cumulative Frequency	Upper Class Boundary
145 – 149	5	5	< 149.5
150 – 154	18	23	< 154.5
155 – 159	50	73	< 159.5
160 – 164	29	102	< 164.5
165 – 169	80	182	< 169.5
170 – 174	14	196	< 174.5
175 – 179	4	200	< 179.5

EVALUATION

The table shows the masses of various quantities of maize sold by a farmer during the year 1985.

Mass (kg)	40    –    43	44    –    47	48      –   51	52    –    55	56    –     59	60    –    63	64   -67	68   – 71
Frequency	7	18	32	48	41	28	17	19

• Draw a cumulative frequency table. (b) Using a scale of 2cm to 4 kg on the x-axis and 2cm to 20units on the y-axis, draw the cumulative frequency curve.

GENERAL EVALUATION

Given the frequency distribution below. Draw a histogram and a cumulative frequency curve.

Height (cm)	160     –  164	165  –    169	170   – 174	175  – 179	180   –  184	185   –  189	190   – 194
Frequency	10	25	40	56	44	20	5

 

In our next class, we will be talking more about Statistics.  We hope you enjoyed the class.

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