The ages, a years, of the five members of the boy-band AlphaArise are such that (a

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The ages, a years, of the five members of the boy-band AlphaArise are such that Σ­(a − 21)2 = 11.46 and ­Σ(a − 21) = −6.

The ages, b years, of the seven members of the boy-band BetaBeat are such that Σ­(b −18)2 = 10.12 and Σ­(b −18) = 0.

a. Show that the difference between the mean ages of the boys in the two bands is 1.8 years.

b. Find the variance of the ages of the 12 members of these two bands.

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