Question

If the median of the following distribution is 31, then find the value of x
CLASS 0-10 10-20 20-30 30-40 40-50 50-60

FREQUENCY 5 8 6 X 6 5

full answer

Answer 1

Step-by-step explanation:

STATISTICS

The mean of the following distribution is 31.4. Determine the missing frequency x.

Class 0−10 10−20 20−30 30−40 40−50 50−60

Frequency 5 x 10 12 7 8

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ANSWER

Class Class−mark Frequency

f

i

f

i

x

i

0−10 5 5 25

10−20 15 x 15x

20−30 25 10 250

30−40 35 12 420

40−50 45 7 315

50−60 55 8 440

∑f

i

=42+x ∑f

i

x

i

=1450+15x

Mean=

∑f

i

∑f

i

x

i

⇒ 31.4=

42+x

1450+15x

⇒ 1318.8+31.4x=1450+15x

⇒ 16.4x=131.2

∴$ x=8