Question

The mode of observation is 33⅓ and total frequency is 100 ?​

Answer 1

The mode of observation is 33⅓ and total frequency is 100 ?

Divide the numerator by the denominator.

Write down the whole number result.

Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number.

Answer 2

Answer:

∑f

i

=100 [ Given ]

∴ 56+x+y=100

∴ x=44−y ----- ( 1 )

Modal class =30−40

So we have, l=30,f

0

=x,f

1

=28,f

2

=y,h=10

⇒ Mode =33

3

1

[ Given ]

⇒ l+

2f

1

−f

0

−f

2

f

1

−f

0

×h=

3

100

⇒ 30+

2×28−x−y

28−x

×10=

3

100

⇒ 30+

56−(44−y)−y

28−(44−y)

×10=33.33 [ From ( 1 ) ]

⇒

12

−16+y

×10=3.33

⇒ (−16+y)×5=3.33×6

⇒ −80+5y=19.98

⇒ 5y=99.98

⇒ y=19.99≈20

∴ y=20

Substituting y=20 in equation ( 1 ),

⇒ x=44−20=24

∴ x=24 and y=20

Step-by-step explanation:

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