Question

mode of the following data is 27. Find x
.17, 10, 27, 25, 12, 16, 16, 27, x + 2​

Answer 1

Answer:

No. of

students

f

i

x

i

f

i

x

i

0-10 8 5 40

10-20 p 15 15p

20-30 12 25 300

30-40 13 35 455

40-50 10 45 450

Σf

i

=43+p Σf

i

x

i

=1245+15p

mean=

Σf

i

Σf

i

x

i

=27⇒(given)

∴

43+p

1245+15p

=27

⇒1245+15p=27(43+p)

⇒1245+15p=1161+27p

⇒1245−1161=27p−15p

⇒12p=84

⇒p=7