Question

Compute the missing frequencies 'F1' and 'F2' in the following data if the mean is 166 9\26 and the sum of observations is 52. Data :-
=>Class frequency
• 140-150. 5
• 150-160. F1
• 160-170. 20
• 170-180. F2
• 180-190. 6
• 190-200. 2

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Concept:

Frequency is the no. of times something occurred

Given:

the mean is 166 9\26 and the sum of observations is 52. Data :-

=>Class frequency

• 140-150. 5

• 150-160. F1

• 160-170. 20

• 170-180. F2

• 180-190. 6

• 190-200. 2

Find:

f1 and f2

Solution:

Sum of observations=52

5+f1+20+f2+6+2=52

f1+f2+33=52

f1+f2=19----------------------(i)

Σfx=-2f₁-25

mean=a+hΣfx/Σf

⇒166 9/26=175+10(-2f₁-25)/52

⇒4325/26-175=-10(2f₁+25)/52

⇒(4325-4550)/26=-10(2f₁+25)/52

⇒-225/26=-10(2f₁+25)/52

⇒45=2f₁+25

⇒f₁=10

f₂+10=19

f₂=9

Therefore,f₁=10 and f₂=9

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