Question

A golfer who played 91 rounds of golf last year would like to calculate her median score. When all 91 scores are ordered from smallest to largest, the score in the _____ th/rd position will be the median.

Answer 1

Answer:

The median score will be given by the 46th position.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 91

Formula:

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

When all the scores are sorted from the largest to the smallest, the, the median value is given by:

$\text{Median} = \dfrac{91 + 1}{2}^{th}\text{ term} = \dfrac{92}{2}^{th}\text{ term} = 46^{th}\text{ term}$

Thus, the median score will be given by the 46th position.