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Answers
Mean=sum of observation /total numbers of observation
=10*6+15*8+20*p+25*10+30*6/
6+8+p+10+6
=60+120+20p+250+180/30+p=20.2
610+20p=20.2(30+p)
610+20p=606+20.2p
20.2p-20p=610-606
0.2p=4
p=4/0.2
Thus p=20
Answer:
p = 20
Step-by-step explanation:
x f fₓ
10 6 10
15 8 120
20 p 20p
25 10 250
30 6 180
-------- -----------
30 + p 610 + 20p
∴ Mean = ∑fₓ/f
⇒ 20.2 = (610 + 20p)/(30 + p)
⇒ 20.2(30 + p) = (610 + 20p)
⇒ 606 + 20.2p = 610 + 20p
⇒ 4 = 0.2p
⇒ p = 20.
Therefore, the value of p = 20.
Hope it helps!