a. Estimate the median. b. Estimate the first and third quartiles. c. Determine the interquartile range. d. Beyond what point is a value considered an outlier? c. Determine the interquartile range.Interquartile ranged. Beyond what point is a value considered an outlier?thanorthan The box plot shows the undergraduate in-state tuition per credit hour at four-year public colleges.0+----++150 300 450 600 750 900 1,050 1,200 1,350 $1,500a. Estimate the median.MedianQ1Q3b. Estimate the first and third quartiles.

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Answered: The box plot shows the undergraduate…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

a. Estimate the median.

b. Estimate the first and third quartiles.

c. Determine the interquartile range.

d. Beyond what point is a value considered an outlier?

The box plot shows the undergraduate in-state tuition per credit hour at four-year public colleges.
0
+----
+
+
150 300 450 600 750 900 1,050 1,200 1,350 $1,500
a. Estimate the median.
Median
Q1
Q3
b. Estimate the first and third quartiles.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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