Question

In history class, Maria has nine tests. Her final grade in the class will be the median of her test scores. Each test is scored out of $100.$ Maria's first six test scores are $79,$ $84,$ $86,$ $92,$ $93,$ and $97.$ What is the highest possible final grade in the class she can still earn

Answer 1

Answer:

93

Step-by-step explanation:

Given the data:

$79,$ $84,$ $86,$ $92,$ $93,$ and $97

79, 84, 86, 92, 93, 97

Highest possible score obtainable in a test = 100

Hence to calculate the highest possible score she could still attain;

We assume she obtained a score of 100 in all remaining 3 tests

Then the data becomes :

79, 84, 86, 92, 93, 97, 100, 100, 100

Median of the dataset:

Q2 = 1/2(n + 1)th term

n = sample size = 9

Q2 = 1/2(9 + 1)th term

Q2 = 1/2(10)th term

Q2 = 5th term

Q2 = 93