Question

In your​ class, you have scores of 84​, 95​, 83​, and 86 on the first four of five tests. To get a grade of Upper B​, the average of the first five tests scores must be greater than or equal to 80 and less than 90.
a.
Solve an inequality to find the least score you can get on the last test and still earn a Upper B.
b.
What score do you need if the fifth test counts as two​ tests?

Answer 1

a.  To get  a B grade the least average is 80.  That is a total of 5*80 = 400.

So if the least score is x we have;

84 + 95 + 83 + 86 + x ≥ 400

x ≥ 400 -  348

x ≥ 52

so the least score is 52

Answer 2

a.  To get  a B grade the least average is 80.  That is a total of 5×80 =400.

So if the least score is x we have;

84 + 95 + 83 + 86 + x ≥ 400

x ≥ 400 -  348

x ≥ 52

so the least score is 52.

Average A calculated "central" value of a set of numbers.

What is average in math?

The average is the sum of all values divided by the number of values. It is also sometimes referred to as mean. In statistics, mean is the average of the given sample or data set. It is equal to the total of observation divided by the number of observations

What is called average?

In mathematics and statistics, average refers to the sum of a group of values divided by n, where n is the number of values in the group. An average is also known as a mean. Like the median and the mode, the average is a measure of central tendency, meaning it reflects a typical value in a given set.

What are main types of average?

There are three main types of average: mean, median and mode. Each of these techniques works slightly differently and often results in slightly different typical values. The mean is the most commonly used average. To get the mean value, you add up all the values and divide this total by the number of values.

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