Question

In Exercises 6 and 7, use the given measure to find the missing value in each data set. 6. The mean of the ages of 5 brothers is 13 years. 12, 16,__, 14, 87. The median number of students in each music class is 19 people. 16,___, 24, 17, 20, 21

Answer 1

6) the missing value is 15

Step-by-step explanation:

6) let the missing age = y

12, 16, y, 14, 8

The average formula = sum of data/number of data

sum of the ages = 12 + 16 + y + 14 + 8 = 50 + y

Number of ages = 5

Average = mean = 13

`\begin{gathered} Average\text{ = }(50+y)/(5) \\ 13\text{ = }(50+y)/(5) \end{gathered}`
`\begin{gathered} 13(5)\text{ = 50+ y} \\ 65\text{ = 50 + y} \\ 65\text{ - 50 = y} \\ 15\text{ = y} \end{gathered}`

Hence, the missing value is 15