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LuckyWell [14K]
3 years ago
7

Find geometric mean between 2 and 8​

Mathematics
1 answer:
tester [92]3 years ago
3 0

Answer:  4

===================================

Rule: The geometric mean of two numbers x and y is sqrt(x*y)

In this case, x = 2 and y = 8

So we have the geometric mean equal to sqrt(2*8) = sqrt(16) = 4

If you wanted to find the geometric mean of three values, then you'll multiply the numbers and take a cube root. If you had four values, then you multiply and apply a fourth root. And so on.

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Mateo scored in the 55th percentile of his class on the latest math exam. What does this mean in relation to the data set, and w
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Answer:

  • d. Mateo scored as well as or better than 55% of his classmates, with a score of 82.

Step-by-step explanation:

  • Mateo scored in the 55th percentile of his class on the latest math exam. What does this mean in relation to the data set and what did he score on the exam?

{35, 42, 55, 68, 69, 72, 72, 77, 78, 78, 82, 85, 87, 88, 90, 93, 94, 96, 96, 99)  

  • a. Mateo scored a 55% on his exam.
  • b. Mateo scored as well as or better than 55% of his classmates, with a score of 78.
  • c. Mateo scored worse than 55% of his classmates, with a score of 78.
  • d. Mateo scored as well as or better than 55% of his classmates, with a score of 82.
  • e. Mateo scored worse than 55% of his classmates, with a score of 82.
<h3>Solution</h3>

There are scores of 20 students. Each score is equivalent of 100%/20 = 5%

The easy way to understand Mateo' s place is to compare scores against 5% slots.

<em>See attached.</em>

We can also get the average score

<u>Sum </u>

  • ∑ {35, 42, 55, 68, 69, 72, 72, 77, 78, 78, 82, 85, 87, 88, 90, 93, 94, 96, 96, 99) = 1556

<u>Average or mean score:</u>

  • 1556/20 = 77.8

This is matching the 50% score.

As we see Mateo scored 82 which is matching 55%.

Correct option is d.

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