Listed below are amounts of stronfum- 90 (in millibecquerels, or mBq ) in a simple random sample of baby teoth obtained from residents in a region born after 1979 . Use the given data to construct a boxpl Identily the 5 number summary 122 125 127 130 133 135 138 140 161 144 146 171 The 5 -number summary is \( \square \) 1. \( \square \) 1. \( \square \) , and \( \square \) , all in mBq (Use ascending order. Type intagers or decimals. Do not round.)

To construct the five-number summary for the given dataset, follow these steps: **Given Data (Unsorted):** ``` 122, 125, 127, 130, 133, 135, 138, 140, 161, 144, 146, 171 ``` **Step 1: Sort the Data in Ascending Order** ``` 122, 125, 127, 130, 133, 135, 138, 140, 144, 146, 161, 171 ``` **Step 2: Identify the Five-Number Summary** 1. **Minimum:** The smallest value in the dataset. - **Minimum = 122 mBq** 2. **First Quartile (Q₁):** The median of the first half of the data. - First half: `122, 125, 127, 130, 133, 135` - Q₁ = (127 + 130) / 2 = **128.5 mBq** 3. **Median (Q₂):** The middle value of the dataset. - With 12 data points, the median is the average of the 6th and 7th values. - Median = (135 + 138) / 2 = **136.5 mBq** 4. **Third Quartile (Q₃):** The median of the second half of the data. - Second half: `138, 140, 144, 146, 161, 171` - Q₃ = (144 + 146) / 2 = **145 mBq** 5. **Maximum:** The largest value in the dataset. - **Maximum = 171 mBq** **Five-Number Summary:** ``` Minimum: 122 mBq Q₁: 128.5 mBq Median: 136.5 mBq Q₃: 145 mBq Maximum: 171 mBq ``` **Boxplot Construction:** Using the five-number summary, you can create a boxplot where: - The box spans from Q₁ to Q₃. - The line inside the box represents the median (Q₂). - The "whiskers" extend from the minimum to Q₁ and from Q₃ to the maximum. **Final Answer:** The five-number summary is 122, 128.5, 136.5, 145, and 171, all in mBq.