Question

find the mean and variance of the following data : 6,8,10,12,1416,18,20,22,24 .​

Answer 1

Mean = sum of observations / no. of observations

= 6+8+10+12+14+16+18+20+22+24

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10

= 128.4

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10

= 12.84

Answer 2

Answer:

Step-by-step explanation:

Variance =σ2=∑in(xi−x¯)2n Here, n = no. of terms = 10 Now, x¯=Mean=∑xn=6+8+10+12+14+16+18+20+22+24÷10=150÷10=15 ∴Mean=15 σ2=1÷10((−9)2+(−7)2+(−5)2+(−3)2+(−1)2+12+32+52+72+92) =2÷10(81+49+25+9+1) =1÷5(165) =33 ∴Variance=33