asures of Relative Standing Question 6, 3.3.31 HW Score: 53.45\%, 7.48 of 14 points Part 1 of 2 Points: 0 of 1 Listed below are amounts of strontium-90 (in millibecquerels, or mBq ) in a simple random sample of baby teeth obtained from residents in a region born after 1979. Use the given data to construct a box identify the 5 -number summary. 122 125 127 130 133 135 138 140 161 144 146 171 The 5 -number summary is \( \square \) \( \square \) \( \square \) \( \square \) , and \( \square \) , all in mBq . (Use ascending order. Type integers or decimals. Do not round.)

To construct the 5-number summary for the given data set, follow these steps: ### **Step 1: Organize the Data in Ascending Order** Given data: \[ 122, 125, 127, 130, 133, 135, 138, 140, 161, 144, 146, 171 \] Sorted data: \[ 122, 125, 127, 130, 133, 135, 138, 140, 144, 146, 161, 171 \] ### **Step 2: Determine the Five-Number Summary Components** 1. **Minimum**: The smallest value in the data set. \[ \text{Minimum} = 122 \] 2. **First Quartile (Q1)**: The median of the first half of the data. - First half: \[ 122, 125, 127, 130, 133, 135 \] - Since there are 6 data points, Q1 is the average of the 3rd and 4th values: \[ Q1 = \frac{127 + 130}{2} = 128.5 \] 3. **Median (Q2)**: The median of the entire data set. - With 12 data points, the median is the average of the 6th and 7th values: \[ \text{Median} = \frac{135 + 138}{2} = 136.5 \] 4. **Third Quartile (Q3)**: The median of the second half of the data. - Second half: \[ 138, 140, 144, 146, 161, 171 \] - Since there are 6 data points, Q3 is the average of the 3rd and 4th values: \[ Q3 = \frac{144 + 146}{2} = 145 \] 5. **Maximum**: The largest value in the data set. \[ \text{Maximum} = 171 \] ### **Final 5-Number Summary** \[ \boxed{122,\ 128.5,\ 136.5,\ 145,\ 171} \]