Question

1. to determine a students grade, a teacher throws out the lowest grade obtained on 5 tests, averages the remaining grades, and rounds to the nearest integer. if betty scored 72, 75, 88, 86, and 90 on her tests, what grade will she receive? 68 85 88 84.8

Explanation:

Step1: Remove the lowest grade

The lowest grade among \(72,75,88,86,90\) is \(72\). So we consider \(75,88,86,90\).

Step2: Calculate the average

The average formula is \(\text{Average}=\frac{\text{Sum of values}}{\text{Number of values}}\). The sum of \(75 + 88+86 + 90=339\), and the number of values is \(n = 4\). So the average is \(\frac{339}{4}=84.75\).

Step3: Round to the nearest integer

According to the rounding rule, when the decimal part is \(0.5\) or more, we round up. Since \(84.75\) has a decimal part of \(0.75\gt0.5\), we round \(84.75\) to \(85\).

Answer:

85