Math

QuestionFind the third quartile for the scores: 90,85,100,50,45,70,60,4090, 85, 100, 50, 45, 70, 60, 40.

Studdy Solution

STEP 1

Assumptions1. The given scores are 90,85,100,50,45,70,6090,85,100,50,45,70,60, and 4040. . We are asked to find the third quartile (Q3) of these scores.
3. The third quartile (Q3) is the median of the upper half of the data when it is arranged in ascending order.

STEP 2

First, we need to arrange the scores in ascending order.
40,45,50,60,70,85,90,10040,45,50,60,70,85,90,100

STEP 3

Next, we need to find the median of the upper half of the scores. Since there are8 scores in total, the upper half starts from the5th score.
Upperhalf=70,85,90,100Upper\, half =70,85,90,100

STEP 4

To find the median of the upper half, we need to find the middle value. Since there are4 scores in the upper half, the median is the average of the2nd and3rd scores.
Median=(85+90)/2Median = (85 +90) /2

STEP 5

Calculate the median of the upper half.
Median=(85+90)/2=87.5Median = (85 +90) /2 =87.5So, the third quartile (Q3) of the scores is87.5.

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