The following numbers of people attended the last 10 screenings of a movie. 196, 198, 199, 203, 203, 205, 206, 207, 208, 210 Complete the parts below to identify any outliers. (a) Let Q₁ be the lower quartile and Q3 be the upper quartile of the data set. Find 2₁ and 23 for the data set. 2₁ = 0 23= (b) Find the interquartile range (IQR) of the data set. IQR = X Lower boundary: Upper boundary: X (c) Calculate a lower boundary using Q₁-1.5-IQR. Calculate an upper boundary using Q3 +1.5-IQR. (Note th 1.5 IQR means 1.5 times the IQR.) X

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The following numbers of people attended the last 10 screenings of a movie:

196, 198, 199, 203, 205, 206, 207, 208, 210

Complete 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 \(\times\) 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".

**Outliers:** \_\_\_

Options: 

- [ ] None
Transcribed Image Text:The following numbers of people attended the last 10 screenings of a movie: 196, 198, 199, 203, 205, 206, 207, 208, 210 Complete 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 \(\times\) 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". **Outliers:** \_\_\_ Options: - [ ] None
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