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Answer the following : The mean height o...

Answer the following : The mean height of 200 students is 65 inches. The mean heights of boys and girls are 70 inches and 62 inches respectively and the S.D. are 8 and 10 respectively. Find the number of boys and the combined S.D.

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In a city there are two factories A and B. Each factory produces sports clothes for boys and girls. There are three types of clothes produced in, both the factories type I, II and III. For boys the number of units of types I, II and III are 80, 70 and 65 in factory A and 85,65 and 72 in factory B. For girls the number of units of I, II and III are 80, 75,90 in factory A and 50,55,80 in factory B. Express this information in terms of matrices and using matrix Algebra, answer the following question.(I) What is the total production of each type for boys and girls?