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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705 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)
Number of apples
(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
No. of apples $f_i$
$x_i$
$x_if_i$
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