Would you like a cup of tea? - Carole and Julius are getting ready to open a new cafe and are gathering up information about sales of different drinks in their state. They obtain data containing the yearly sales (in $1000s) for three types of tea: Darjeeling, Earl Grey, and Green Tea. A boxplot of the data and a histogram of the sales for all three teas combined is shown below. Note: Clicking on any image in this problem will open it in a new window, allowing you to enlarge the view. Tea Sales by Product Combined Tea Sales Darjeeling Earl Grey Green Tea 100 200 300 400 Product Sales in $1000 Part 1: Use the plots above to make quantitative comparisons and answer the following questions: Quantity A: The 75th percentile (Q3) of Sales for Darjeeling Tea Quantity B: The 75th percentile (Q3) of Sales for Green Tea Quantity A is greater Sales in $1000 100 200 300 Frequency 200 300

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### Would you like a cup of tea?
Carole and Julius are getting ready to open a new cafe and are gathering up information about sales of different drinks in their state. They obtained data containing the yearly sales (in \$1000s) for three types of tea: Darjeeling, Earl Grey, and Green Tea. A boxplot of the data and a histogram of the sales for all three teas combined are shown below.

Note: Clicking on any image in this problem will open it in a new window, allowing you to enlarge the view.

#### Tea Sales by Product
The boxplot provides a visual summary of the sales distribution for each type of tea:
  - **Darjeeling**: Sales range from approximately 100 to 200 \( \$1000s \). The median sale is around 150 \( \$1000s \), and the 75th percentile (Q3) is approximately 180 \( \$1000s \).
  - **Earl Grey**: Sales range from approximately 100 to 400 \( \$1000s \). The median sale is around 225 \( \$1000s \), and the 75th percentile (Q3) is around 300 \( \$1000s \).
  - **Green Tea**: Sales range from approximately 80 to 260 \( \$1000s \). The median sale is around 180 \( \$1000s \), and the 75th percentile (Q3) is approximately 240 \( \$1000s \).

#### Combined Tea Sales
The histogram represents the frequency of combined tea sales in \$1000s:
  - Sales are predominantly in the range of 100 to 150 \( \$1000s \).
  - There is a noticeable number of sales in the range of 200 to 250 \( \$1000s \).
  - Very few sales exceed 350 \( \$1000s \).

### Part 1: Use the plots above to make quantitative comparisons and answer the following questions:

**Quantity A:** The 75th percentile (Q3) of Sales for Darjeeling Tea

**Quantity B:** The 75th percentile (Q3) of Sales for Green Tea

#### Answer
- **Quantity A is greater**

This exercise helps in understanding the comparative sales performance of different tea products and making informed decisions based on statistical data representations.
Transcribed Image Text:### Would you like a cup of tea? Carole and Julius are getting ready to open a new cafe and are gathering up information about sales of different drinks in their state. They obtained data containing the yearly sales (in \$1000s) for three types of tea: Darjeeling, Earl Grey, and Green Tea. A boxplot of the data and a histogram of the sales for all three teas combined are shown below. Note: Clicking on any image in this problem will open it in a new window, allowing you to enlarge the view. #### Tea Sales by Product The boxplot provides a visual summary of the sales distribution for each type of tea: - **Darjeeling**: Sales range from approximately 100 to 200 \( \$1000s \). The median sale is around 150 \( \$1000s \), and the 75th percentile (Q3) is approximately 180 \( \$1000s \). - **Earl Grey**: Sales range from approximately 100 to 400 \( \$1000s \). The median sale is around 225 \( \$1000s \), and the 75th percentile (Q3) is around 300 \( \$1000s \). - **Green Tea**: Sales range from approximately 80 to 260 \( \$1000s \). The median sale is around 180 \( \$1000s \), and the 75th percentile (Q3) is approximately 240 \( \$1000s \). #### Combined Tea Sales The histogram represents the frequency of combined tea sales in \$1000s: - Sales are predominantly in the range of 100 to 150 \( \$1000s \). - There is a noticeable number of sales in the range of 200 to 250 \( \$1000s \). - Very few sales exceed 350 \( \$1000s \). ### Part 1: Use the plots above to make quantitative comparisons and answer the following questions: **Quantity A:** The 75th percentile (Q3) of Sales for Darjeeling Tea **Quantity B:** The 75th percentile (Q3) of Sales for Green Tea #### Answer - **Quantity A is greater** This exercise helps in understanding the comparative sales performance of different tea products and making informed decisions based on statistical data representations.
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