7. 44, 51, 36, 19, 40, 69, 49, 46\n7) q1=____ q3=____ iqr=____\noutlier?\n8. 70, 72, 64, 93, 80, 78, 96, 75…
7. 44, 51, 36, 19, 40, 69, 49, 46\n7) q1=____ q3=____ iqr=____\noutlier?\n8. 70, 72, 64, 93, 80, 78, 96, 75, 70, 72\n8) q1=____ q3=____ iqr=____\noutlier?\nsummary:\n9. basketball the table shows the free - throw percentage of each player on a basketball team. identify any outlier(s).\nfree throw percentage\n75 72 54 69\n82 51 74 76\n79 85 75 84\n9) q1=____ q3=____ iqr=____\noutlier?\n10)
Answer
Answer:
q1: <Value to be calculated based on data 44,51,36,19,40,69,49,46> q3: <Value to be calculated based on data 44,51,36,19,40,69,49,46> iqr: <Value to be calculated as q3 - q1> Outlier: <Determined based on 1.5iqr rule> 8) q1: <Value to be calculated based on data 70,72,64,93,80,78,96,75,70,72> q3: <Value to be calculated based on data 70,72,64,93,80,78,96,75,70,72> iqr: <Value to be calculated as q3 - q1> Outlier: <Determined based on 1.5iqr rule> 9) q1: <Value to be calculated based on free - throw percentage data in table (75,72,54,69,82,51,74,76,79,85,75,84)> q3: <Value to be calculated based on free - throw percentage data in table (75,72,54,69,82,51,74,76,79,85,75,84)> iqr: <Value to be calculated as q3 - q1> Outlier: <Determined based on 1.5*iqr rule>
Explanation:
Step1: Sort the data
Sort the given data set in ascending order. For example, for the data 44,51,36,19,40,69,49,46, it becomes 19,36,40,44,46,49,51,69.
Step2: Find the median (Q2)
If n (number of data points) is even, Q2 is the average of the two middle - values. If n is odd, Q2 is the middle - value.
Step3: Find Q1 and Q3
Q1 is the median of the lower half of the data (excluding Q2 if n is odd), and Q3 is the median of the upper half of the data (excluding Q2 if n is odd).
Step4: Calculate the inter - quartile range (IQR)
$IQR = Q3 - Q1$
Step5: Determine outliers
Outliers are values less than $Q1-1.5\times IQR$ or greater than $Q3 + 1.5\times IQR$.