7. The average monthly rainfalls in both Mt. Washington, New Hampshire and Quillayute, Washington are shown in the dotplots below. Source: National Climatic Data Center, Quillayute Mt. Washington http://lwf.ncdc.noaa.gov/oa/climate/ online/ccd/nrmlprcp.html a) What does each dot represent? (Hint: How many dots are on each graph?) Each dot represents average rainfall in both Mt. Washington, Quillayute 2 4 5 b) What was the lowest monthly rainfall recorded for a month in Quillayute? Lowest in Quillayute = 2 Median in Washington: N = 12 Even Median = 8+8 = 8 2 Ji.. 7 9 10 inches of rain per month c) What was the highest monthly rainfall recorded for a month in Mt. Washington? Highest in Mt. Washington = 10 Mean in Quillayute d) Calculate the mean amount of monthly rainfall for each town. Mean Q: 2+3+4+4+6+7+10+11+12+14+15+15 2 = 103 = 8.58 12 Mean = 7+8+8+8+8+8+8+9+9+9+9+10 = 101 12 e) Calculate the median amount of monthly rainfall for each town. (It may help to write the data values in a list first.) Meidan = Median in Quillayute: N = 12 Even = ( 2₁ ) + ( ² + 1) 2 11 12 6+7 2 13 14 12 = 8.42 15 7+10=17-8.5

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### Average Monthly Rainfall Analysis

The average monthly rainfalls for Mt. Washington, New Hampshire, and Quillayute, Washington are displayed in the dot plots.

**Source**: National Climatic Data Center  
[Data Source Link](http://lwf.ncdc.noaa.gov/oa/climate/online/ccd/nrmmlprcp.html)

---

#### Questions and Answers

**a) What does each dot represent?**

Each dot represents the average rainfall for both Mt. Washington and Quillayute.

**b) What was the lowest monthly rainfall recorded for a month in Quillayute?**

- **Answer**: Lowest in Quillayute = 2 inches

**c) What was the highest monthly rainfall recorded for a month in Mt. Washington?**

- **Answer**: Highest in Mt. Washington = 10 inches

#### Calculations

**d) Calculate the mean amount of monthly rainfall for each town.**

- **Quillayute**: Mean = (2 + 3 + 4 + 4 + 6 + 7 + 10 + 11 + 12 + 14 + 15 + 15) / 12 = 103 / 12 = 8.58 inches

- **Mt. Washington**: Mean = (7 + 8 + 8 + 8 + 8 + 8 + 8 + 9 + 9 + 9 + 9 + 10) / 12 = 101 / 12 = 8.42 inches

**e) Calculate the median amount of monthly rainfall for each town.**

- **Quillayute**: Values are ordered as shown in the calculations. Median calculation: Median = (7 + 8) / 2 = 8.5 inches

- **Mt. Washington**: Values are ordered. Median calculation: Median = (8 + 8) / 2 = 8 inches

---

### Graph Explanation

The dot plot visually represents the distribution of monthly rainfall. Each dot corresponds to a specific amount of average rainfall, where:

- The **x-axis** indicates the inches of rain per month.
- The **layout** shows the frequency of rainfall measurements at each level for the two locations.

This visual helps compare the typical rainfall and the variation between the two locations.
Transcribed Image Text:### Average Monthly Rainfall Analysis The average monthly rainfalls for Mt. Washington, New Hampshire, and Quillayute, Washington are displayed in the dot plots. **Source**: National Climatic Data Center [Data Source Link](http://lwf.ncdc.noaa.gov/oa/climate/online/ccd/nrmmlprcp.html) --- #### Questions and Answers **a) What does each dot represent?** Each dot represents the average rainfall for both Mt. Washington and Quillayute. **b) What was the lowest monthly rainfall recorded for a month in Quillayute?** - **Answer**: Lowest in Quillayute = 2 inches **c) What was the highest monthly rainfall recorded for a month in Mt. Washington?** - **Answer**: Highest in Mt. Washington = 10 inches #### Calculations **d) Calculate the mean amount of monthly rainfall for each town.** - **Quillayute**: Mean = (2 + 3 + 4 + 4 + 6 + 7 + 10 + 11 + 12 + 14 + 15 + 15) / 12 = 103 / 12 = 8.58 inches - **Mt. Washington**: Mean = (7 + 8 + 8 + 8 + 8 + 8 + 8 + 9 + 9 + 9 + 9 + 10) / 12 = 101 / 12 = 8.42 inches **e) Calculate the median amount of monthly rainfall for each town.** - **Quillayute**: Values are ordered as shown in the calculations. Median calculation: Median = (7 + 8) / 2 = 8.5 inches - **Mt. Washington**: Values are ordered. Median calculation: Median = (8 + 8) / 2 = 8 inches --- ### Graph Explanation The dot plot visually represents the distribution of monthly rainfall. Each dot corresponds to a specific amount of average rainfall, where: - The **x-axis** indicates the inches of rain per month. - The **layout** shows the frequency of rainfall measurements at each level for the two locations. This visual helps compare the typical rainfall and the variation between the two locations.
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