Question

The mean of 5 numbers is 14. If the first four numbers in the data set are 12, 17, 24, and
11, what is the value of the fifth number?
a. Write an equation to find the fith number?
11 12 1724
15 7
+42
b. What is the fifth number?

Answer 1

Answer:

a. x + 64 = 70

b. x = 6

Step-by-step explanation:

Let the fifth number be x.

$\implies \: mean = \frac{sum \: of \: the \: numbers}{total \: numbers} \\ \\ \implies \: 14 = \frac{12 + 17 + 24 + 11 + x}{5} \\ \\ \implies \: 14 = \frac{64 + x}{5} \\ \\ \implies \: 14 \times 5 =x+ 64 \\ \\\implies \:\purple{\bold{x+ 64 =70}}\\(this \: is \:the \: required\: equation)\\ \\ \implies \: x= 70 - 64 \\ \\ \implies \: x = 6$