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2023 WAEC Further Mathematics Theory (a)The table shows the distribution of heights ( cm ) of 60 seedlings in a...

Further Mathematics
WAEC 2023

(a)The table shows the distribution of heights ( cm ) of 60 seedlings in a vegetable garden.
 

Heights(cm) 0.1 - 0.3 0.4 - 0.6 0.7 - 0.9 1.0 - 1.4 1.5 - 1.9 2.0 - 22 2.3 - 2.5
Frequency      6       9      12      15      3       6       9

 

Draw a histogram for the distribution.

(b) The table shows the distribution of heights ( cm ) of 60 seedlings in a vegetable garden.
 

Heights(cm) 0.1 - 0.3 0.4 - 0.6 0.7 - 0.9 1.0 - 1.4 1.5 - 1.9 2.0 - 2.2 2.3 - 2.5
Frequency       6       9      12      15       3       6       9

Use the histogram to estimate the modal height of the seedlings.

 

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Explanation

(a) 

        Class intervals          Class boundaries         Frequency
             0.1 - 0.3              0.05 - 0.35                6
             0.4 - 0.6              0.35 - 0.65                9
             0.7 - 0.9              0.65 - 0.95               12
             1.0 - 1.4              0.95 - 1.45               15
             1.5 - 1.9              1.45 - 1.95                3
             2.0 - 2.2              1.95 - 2.25                6
             2.3 - 2.5              2.25 - 2.55                9

 

Open photo

(b) The estimate of the modal height of the seedlings is 1.08

 


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