Title: Identifying Outliers in a Data SetIn a survey, 11 people gave the following ratings for a local politician (on a scale of 0 to 100): 42, 44, 46, 47, 48, 49, 49, 50, 52, 53, 55Complete the parts below to identify any outliers.**(a)** Let \( Q_1 \) be the lower quartile and \( Q_3 \) be the upper quartile of the data set. Find \( Q_1 \) and \( Q_3 \) for the data set.\[ Q_1 = \]\[ Q_3 = \]**(b)** Find the interquartile range \((IQR)\) of the data set.\[ \text{IQR} = \]**(c)** Calculate a lower boundary using \( Q_1 - 1.5 \times \text{IQR} \). Calculate an upper boundary using \( Q_3 + 1.5 \times \text{IQR} \). (Note that \( 1.5 \times \text{IQR} \) means 1.5 times the IQR.)\[ \text{Lower boundary:} \]\[ \text{Upper boundary:} \]**(d)** Any values less than the lower boundary or greater than the upper boundary are considered outliers. Identify the outliers of the data set. If there is more than one outlier, separate them with commas. If there are no outliers, click "None."\[ \text{Outliers:} \]**Explanation and Check Section**- **Explanation:** Provides detailed solutions for calculating quartiles, IQR, and identifying outliers.- **Check:** Allows verification of your answers.This exercise helps students understand the process of identifying outliers in a data set using quartiles and interquartile range.

“Since you have posted a question with multiple sub-parts, we will provide the solution only to the first three sub-parts as per our Q&A guidelines. Please repost the remaining sub-parts separately.” Given: n = 11 Formula Used: Lower quartile Q1 = n+14thterm Upper quartile Q3 = 3n+14thterm Interquartile range IQR = Q3-Q1Explanation: Arrange the data in ascending order: 42 44 46 47 48 49 49 50 52 53 55 Lower quartile Q1 = 11+14thterm= 3rd term= 46 Upper quartile Q3 = 311+14thterm= 9th term= 52 b). Interquartile range IQR = Q3-Q1= 52-46= 6 c). Lower boundary = Q1-1.5×IQR= 46-1.5×6= 37 Upper boundary = Q3+1.5×IQR= 52+1.5×6= 61Answer: a). Lower quartile Q1 = 46 Upper quartile Q3 = 52 b). Interquartile range IQR = 6 c). Lower quartile Q1 = 37 Upper quartile Q3 = 61