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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715 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) quad $80-100$ quad $100-120$ quad $120-140$ quad $140-160$ quad $160-180$ Number of apples quad $20$ quad $60$ quad $70$ quad $x$ quad $60$ (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)$20 + 60 + 70 + x + 60 = 250$ $x = 250-210 = 40$ 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 $= 125$ g
