Question

nicole received the following scores on her last 10 math assignments. 100, 88, 76, 78, 92, 94, 84, 98, 82, 90 what is the nicole’s median score? ○ 24 ○ 88 ○ 89 ○ 93

Explanation:

Step1: Sort the scores

Sort the scores in ascending order: \(24,76,78,82,84,88,88,90,92,94,98,100\).

Step2: Find the median

Since there are \(n = 10\) (even number of data points), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+1)\)th values. \(\frac{n}{2}=5\), \(\frac{n}{2}+1 = 6\). The 5th value is \(84\) and the 6th value is \(88\). Median\(=\frac{84 + 88}{2}=\frac{172}{2}=86\). Wait, no, wait the original data has 10 scores: \(24,76,78,82,84,88,88,90,92,94\). Sort them: \(24,76,78,82,84,88,88,90,92,94\). \(n = 10\), median is average of 5th and 6th. 5th is \(84\), 6th is \(88\). Median\(=\frac{84+88}{2}=86\). But wait, no, check again: original data \(100,88,76,78,92,94,84,98,82,90\). Sort: \(76,78,82,84,88,90,92,94,98,100\). \(n = 10\), median is average of 5th and 6th. 5th is \(88\), 6th is \(90\). Median\(=\frac{88 + 90}{2}=89\).

Answer:

\(89\)