the test score of 30 students are listed below. Find the Q3
To find the third quartile (Q3) of a dataset, you need to arrange the data in ascending order. Once the data is sorted, you can find the position of Q3 using the formula:
Position of Q3 = (3/4) * (n + 1)
Where n represents the total number of data points in the dataset. Once you determine the position of Q3, you can get the value at that position to find the actual Q3 score.
Since you have the test scores of 30 students, let's assume the scores are as follows:
72, 78, 80, 82, 85, 87, 88, 90, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 105, 106, 107, 108, 109, 110, 112, 115, 118, 120
First, sort the data in ascending order:
72, 78, 80, 82, 85, 87, 88, 90, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 105, 106, 107, 108, 109, 110, 112, 115, 118, 120
Now, calculate the position of Q3:
Position of Q3 = (3/4) * (30 + 1)
= (3/4) * 31
= 23.25
Since the position is not a whole number, we'll take the average of the values at positions 23 and 24 to find Q3:
Q3 = (102 + 103) / 2
= 205 / 2
= 102.5
Therefore, the Q3 score for the given dataset is 102.5.