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Zorluk: KolayMeasures of Central Tendency (Mean, Median, Mode)

A department consisting of 55 employees has a mean monthly sales total of $12000\$12{}000. If a new employee with a monthly sales total of $18000\$18{}000 joins the department, what is the new mean monthly sales total, in dollars, for the 66 employees?

Cevap: 13000 dollars

Cevap

13000
To find the new mean, multiply the initial mean by the initial number of employees to get total sales: 5×12000=600005 \times 12{}000 = 60{}000. Add the new employee's sales: 60000+18000=7800060{}000 + 18{}000 = 78{}000. Finally, divide by the new total number of employees (66) to get 780006=13000\frac{78{}000}{6} = 13{}000.

Adım Adım Çözüm

1
Find the total sales of the original 5 employees.
5×12000=600005 \times 12{}000 = 60{}000
The sum of values is equal to the mean multiplied by the number of observations.
2
Calculate the total sales for all 6 employees.
60000+18000=7800060{}000 + 18{}000 = 78{}000
Add the new employee's sales to the initial total.
3
Calculate the new mean sales per employee.
780006=13000\frac{78{}000}{6} = 13{}000
Divide the combined total sales by the new total number of employees (6).

Anahtar Kavram

Mean of Combined Data Sets
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Measures of Central Tendency (Mean, Median, Mode)

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