A bakery sells 10 types of sandwiches. Here are their calorie amounts. 592, 593, 595, 596, 599, 603, 604, 605, 605, 606 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 Q, and Q, for the data set. 2₁ 0 9₁ = (b) Find the interquartile range (IQR) of the data set. IQR = [] Lower boundary: Upper boundary: X X Outliers: (c) Calculate a lower boundary using Q₁-1.5-IQR. Calculate an upper boundary using Q3 +1.5-IQR. (Note that 1.5 IQR means 1.5 times the IQR.) X S (d) Any values less than the lower boundary or greater than the upper boundary are considered outliers. Identify all the outliers of the data set. If there is more than one outlier, separate them with commas. If there are no outliers, click "None". 台中陳 None S X S A V

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### Outlier Identification in Caloric Data of Sandwiches

**Task:** A bakery sells 10 types of sandwiches. Here are their calorie amounts:

592, 593, 595, 596, 599, 603, 604, 605, 605, 606

Complete the steps below to identify any outliers.

#### Step-by-Step Instructions

**(a)** *Quartiles:*

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)** *Interquartile Range (IQR):*

Find the interquartile range (IQR) of the data set.

- IQR = \( \_\_\_\_ \)

**(c)** *Boundary Calculation:*

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: 1.5 IQR means 1.5 times the IQR.)*

- Lower boundary: \( \_\_\_\_ \)
- Upper boundary: \( \_\_\_\_ \)

**(d)** *Outlier Identification:*

Any values less than the lower boundary or greater than the upper boundary are considered outliers. Identify all 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: \( \_\_\_\_ \)

This activity allows students to work through the process of identifying outliers by calculating quartiles, the interquartile range, and subsequently using these to find boundaries for outliers.
Transcribed Image Text:### Outlier Identification in Caloric Data of Sandwiches **Task:** A bakery sells 10 types of sandwiches. Here are their calorie amounts: 592, 593, 595, 596, 599, 603, 604, 605, 605, 606 Complete the steps below to identify any outliers. #### Step-by-Step Instructions **(a)** *Quartiles:* 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)** *Interquartile Range (IQR):* Find the interquartile range (IQR) of the data set. - IQR = \( \_\_\_\_ \) **(c)** *Boundary Calculation:* 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: 1.5 IQR means 1.5 times the IQR.)* - Lower boundary: \( \_\_\_\_ \) - Upper boundary: \( \_\_\_\_ \) **(d)** *Outlier Identification:* Any values less than the lower boundary or greater than the upper boundary are considered outliers. Identify all 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: \( \_\_\_\_ \) This activity allows students to work through the process of identifying outliers by calculating quartiles, the interquartile range, and subsequently using these to find boundaries for outliers.
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