Find \( Q_{1}, Q_{3} \), and IQR. (Round your answers to one decimal place as needed.) \[ \begin{array}{r}Q_{1}=\square \\ Q_{3}=\square \\ \text { IQR }=\square \\ \text { Check }\end{array} \]
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Beyond the Answer
To find \( Q_{1} \), \( Q_{3} \), and the IQR (Interquartile Range), you need a dataset. However, I'll guide you through the general process assuming you have a numerical dataset. 1. **Organize your data**: Sort your dataset in ascending order. 2. **Find \( Q_{1} \)** (the first quartile): This is the median of the lower half of your data (not including the overall median if the number of data points is odd). 3. **Find \( Q_{3} \)** (the third quartile): This is the median of the upper half of your data. 4. **Calculate the IQR**: This is done by subtracting \( Q_{1} \) from \( Q_{3} \). As a fun example, if your data was: \( 1, 3, 4, 6, 8, 9, 10 \): - \( Q_{1} = 4 \) (median of \( 1, 3, 4, 6 \)) - \( Q_{3} = 9 \) (median of \( 8, 9, 10 \)) - \( IQR = 9 - 4 = 5 \) Fill in the blanks based on the values obtained from your specific dataset. Each \( Q \) value should be rounded to one decimal place! So, if your values are based on this example, the answers would look like: \[ \begin{array}{r} Q_{1}=4.0 \\ Q_{3}=9.0 \\ \text { IQR }=5.0 \\ \text { Check } \end{array} \] Make sure to work out the quartiles based on your data for the final answer!
