Question

pls answer it fast
urgent
pls
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Answer 1

Answers are as follows:

(a) (ii) Median

We calculate the cumulative frequency in order to find the Median

(b) Class mark = (iii) 75

$\frac{lower limit + upper limit }{2}$

Lower limit = 70

Upper limit = 80

Class mark = $\frac{70 +80}{2}$

= $\frac{150}{2}$

= 75

(c) Modal class = (iv) 60-70

Modal class is the class with maximum frequency. Out of all the given classes, the class with maximum frequency =  60-70. Hence, modal class =  60-70.

(d) Mode = (i) 63

Modal class =  60-70

l = 60

h = 10

$f_{1}$ = 28

$f_{0}$ = 25

$f_{2}$ = 21

Mode = $l + (\frac{f_{1} - f_{0} }{2f_{1}- f_{0} - f_{2} }) h$

=  $60 + (\frac{28 - 25 }{2(28)- 25 - 21}) 10$

= 60 + $(\frac{3}{56-46}) 10$

= 60 + $(\frac{3}{10} ) 10$

= 60 + 3

= 63

Hence, proved.

Hope you got all the answers along with the short explanation.

Thank You.