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Question

Using the assumed - mean method, find the mean height of the plants from the following frequency-distribution table:

Height (in cm) xi6064687276Number of plants fi51640309
[4 MARKS]


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Solution

Tabular form: 1 Mark
Concept: 1 Mark
Application: 2 Marks

Let the assumed mean be A = 68

Now, we may arrange the given data as under.

Height (in cm) xiFrequencydi=(xiA) =(xi68)fi×dixifi=(xi68)605840641646468=A400072304120769872fi=100(fi×di)=88

Mean,
¯x=A +(fi×di)fi

=(68+88100)

=(68 + 0.88) = 68.88

Hence, mean height = 68.88 cm


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