Dear student, We are given with ∑(x-5)=3 n=18⇒∑x-∑5=3⇒∑x-18×5=3⇒∑x=3+90∑x-52=43∑x2-25-10x=43∑x2-∑25-10∑x=43∑x2+25×18-10×93=43∑x2=43+930-450=523Mean =∑xn=9318=5 16SD(σ)=∑x2n-∑xn2=52318-93182=523×18-93×9318×18=1189414-8649=27 6618=1 54 Regards

Please answer qn6

Dear student,

W e a r e g i v e n w i t h \sum (x - 5) = 3 n = 18 \Rightarrow \sum x - \sum 5 = 3 \Rightarrow \sum x - 18 \times 5 = 3 \Rightarrow \sum x = 3 + 90 \sum {(x - 5)}^{2} = 43 \sum (x^{2} - 25 - 10 x) = 43 \sumx^{2} - \sum 25 - 10 \sum x = 43 \sumx^{2} + 25 \times 18 - 10 \times 93 = 43 \sum x^{2} = 43 + 930 - 450 = 523 M e a n = \frac{\sum x}{n} = \frac{93}{18} = 5.16 S D (σ) = \sqrt{\frac{\sum x^{2}}{n} - {(\frac{\sum x}{n})}^{2}} = \sqrt{\frac{523}{18} - {(\frac{93}{18})}^{2}} = \sqrt{\frac{523 \times 18 - 93 \times 93}{18 \times 18}} = \frac{1}{18} \sqrt{9414 - 8649} = \frac{27.66}{18} = 1.54

Regards

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