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Sagot :
The first quartile is 4.5.
The third quartile is 27.5.
What are the quartiles in a data set?
A quartile divides data into three points: lower, middle, and upper quartiles, resulting in four groupings of the dataset. The lower quartile, or first quartile, is designated as Q1 and is the 9 halfway number between the dataset's lowest and median values. The median is also in the second quartile, Q2. The upper or third quartile, abbreviated as Q3, is the center point of the distribution that sits between the median and the highest value.
How to solve the question?
In the question, we are given the number of incidents in which police were needed for a sample of 9 schools in Allegheny County is 8, 39, 6, 12, 45, 16, 3, 0, 15.
We are asked to find the first and the third quartile for the data.
We first arrange the data in ascending order as follows:
0, 3, 6, 8, 12, 15, 16, 39, 45.
We have 9 data points.
Thus, the first quartile is the data at the point (9 + 1)/4 th observation,
or, the first quartile is the data at the point 2.5th observation,
or, the first quartile is the data at the average of 2nd and 3rd observation, = ( 3 + 6 )/2 = 4.5.
Thus, the first quartile is 4.5.
Thus, the third quartile is the data at the point 3(9 + 1)/4 th observation,
or, the third quartile is the data at the point 7.5th observation,
or, the third quartile is the data at the average of 7th and 8th observation, = ( 16 + 39 )/2 = 27.5.
Thus, the third quartile is 27.5.
Learn more about quartiles at
https://brainly.com/question/3514929
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