Question

The mean of 5 numbers is 14. If the first four numbers in the data set are 12, 17, 24, and

Answer 1

Answer:

a. x + 64 = 70

b. x = 6

Step-by-step explanation:

Let the fifth number be x.

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