Question

1. 44, 51, 36, 19, 40, 69, 49, 46
2. q1=__ q3= iqr=__

outlier?

1. 70, 72, 64, 93, 80, 78, 96, 75, 70, 72
2. q1=__ q3= iqr=__

outlier?
summary:

1. basketball the table shows the free - throw percentage of each player on a basketball team. identify any outlier(s).

free throw percentage
75 72 54 69
82 51 74 76
79 85 75 84

1. q1=__ q3= iqr=__

outlier?
10)

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 $Q3 + 1.5\times IQR$.

Answer:

7)
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 1.5*iqr 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 1.5*iqr 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>