250 apples of a box were weighed and the distribution of masses of the apples is given in the following table : Mass…
CBSE Class 10 Maths PYQ · Statistics · Find Freuency · 5 Marks · March 2023 · Standard
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695 Marks · March 2023 · Standard
250 apples of a box were weighed and the distribution of masses of the apples is given in the following table : Mass (in grams) 80-100 100-120 120-140 140-160 160-180 Number of apples 20 60 70 x 60 (i) Find the value of $x$ and the mean mass of the apples. (ii) Find the modal mass of the apples.
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(i) $20 + 60 +70 + x + 60 = 250$ $x = 250-210 = 40$ Mass 80-100 100-120 120-140 140-160 160-180 Total No. of apples $f_i$ 20 60 70 $x = 40$ 60 250 $x_i$ 90 110 130 150 170 $f_ix_i$ 1800 6600 9100 6000 10200 33700 Mean mass $= \frac{33700}{250} = 134.8$ Mean mass = $134.8$ g (ii) Modal class = 120-140 Mode $= 120+\frac{(70-60)}{(140-60-40)} \times 20$ $= 125$ Hence modal mass = $125$ gm
