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
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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
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