The annual salaries, in thousands of dollars, for 11 employees at each of two companies $$\(A\)$$ and $$\(B\)$$ are shown below. A new employee joins company $$\(B\)$$. The mean salary of the 12 employees is now $$\(\$ 38500\)$$. Find the salary of the new employee. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................
Exam No：9709_s20_qp_53 Year：2020 Question No：6(c)
Answer:
Sum of given 11 numbers is 433000
Sum of 12 numbers, including new \(=38500 \times 12=462000\)
Difference \(=\) new salary \(=[\$] 29000\)
Sum of 12 numbers, including new \(=38500 \times 12=462000\)
Difference \(=\) new salary \(=[\$] 29000\)
Knowledge points:
5.1.5 calculate and use the mean and standard deviation of a set of data (including grouped data) either from the data itself or from given totals , and use such totals in solving problems which may involve up to two data sets.
Solution:
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