### Quartiles, Interquartile Range, and Outliers#### Instructions:Use the accompanying data set to complete the following actions:a. Find the quartiles.b. Find the interquartile range.c. Identify any outliers.#### Data Set:41, 50, 35, 43, 41, 37, 41, 46, 43, 39, 36, 54, 42, 35, 15, 53, 37, 49, 29, 29---### Solutions:#### a. Find the quartiles.The first quartile, \( Q_1 \), is __.The second quartile, \( Q_2 \), is __.The third quartile, \( Q_3 \), is __.*(Type integers or decimals.)*#### b. Find the interquartile range.The interquartile range (IQR) is __.*(Type an integer or a decimal.)*#### c. Identify any outliers. Choose the correct choice below.- [ ] A. There exists at least one outlier in the data set at __. \ *(Use a comma to separate answers as needed.)*- [ ] B. There are no outliers in the data set.---### Detailed Explanation:1. Quartiles divide the data set into four equal parts. - **First Quartile \( (Q_1) \)**: The median of the lower half of the data. - **Second Quartile \( (Q_2) \)**: The median of the data set. - **Third Quartile \( (Q_3) \)**: The median of the upper half of the data.2. The **Interquartile Range (IQR)** is calculated as: \[ IQR = Q_3 - Q_1 \]3. **Outliers** are typically identified using the IQR method: - Lower Bound: \( Q_1 - 1.5 \times IQR \) - Upper Bound: \( Q_3 + 1.5 \times IQR \) - Any data point below the Lower Bound or above the Upper Bound is considered an outlier.

Data4150354341374146433936544235155337492929

Answered: Use the accompanying data set to…

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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Suppose that the 1st quartile (Q1) and 3rd quartile (Q3) of the data are 15 and 20, respectively. What is the value of upper whisker in the box plot? a. 25.5 b. 26 c. 27.5 d. 28
Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits. minimum = 13, maximum = 59, 6 classes %3D Choose the correct lower class limits below. OA. 21, 28, 37, 45, 53, 60 O B. 13, 20, 29, 36, 44, 53 OC. 20, 28, 37, 44, 52, 60 D. 13, 21, 29, 37, 45, 53 rces Choose the correct upper class limits below. O A. 20, 28, 37, 45, 52, 60 O B. 20, 28, 36, 44, 52, 60 ess OC. 21, 29, 37, 45, 53, 60 Library O D. 21, 29, 36, 44, 53, 60
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In drawing a histogram, which of the following suggestion should be followed Select one: a. The scale of the vertical axis should be that of the variable whose distribution you are displaying distribution you are displaying b. Leave large gaps between bars, this allows room for comments c. Generally, bars should be square so that both the height and width equal the class count d. The heights of bars should equal the class frequency
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