Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.


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?

Sagot :

Answer:

a. x + 64 = 70

b. x = 6

Step-by-step explanation:

Let the fifth number be x.

[tex] \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[/tex]