Question

Median of the following data is 49.2. Find the values off, and f, if sf, = 90 :
Marks
Frequency
20 – 30 30 – 40 40 - 50 50 - 60 60 - 70 70 - 80 80 - 90
I
15 25 20
8 / 10
​

Answer 1

Answer:

In △ABC AB=AC

⇒∠B=∠C (Angles opposite to equal sides are equal)

Now using angle sum property

∠A+∠B+∠C=180

∘

⇒80

∘

+∠C+∠C=180

∘

⇒2∠C=180

∘

−80

∘

⇒∠C=

2

100

∘

=50

∘

now ∠C+∠x=180

∘

(Angles made on straight line (AC) are supplementary)

⇒50

∘

+∠x=180

∘

⇒∠x=180

∘

−50

∘

=130

∘

@ARSH

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