question 5 (2 points)\n1. what is the five - number summary for the data 0, 2, 2, 4, 5, 5, 5, 5, 7…

question 5 (2 points)\n1. what is the five - number summary for the data 0, 2, 2, 4, 5, 5, 5, 5, 7, 11?\nminimum: \nq1: \nmedian: \nq3: \nmaximum: \n\n2. when the minimum, 0, is removed from the data set, what is the five - number summary?\nminimum: \nq1: \nmedian: \nq3: \nmaximum: \n\nblank 1: \nblank 2: \nblank 3: \nblank 4: \nblank 5: \nblank 6:

question 5 (2 points)\n1. what is the five - number summary for the data 0, 2, 2, 4, 5, 5, 5, 5, 7, 11?\nminimum: \nq1: \nmedian: \nq3: \nmaximum: \n\n2. when the minimum, 0, is removed from the data set, what is the five - number summary?\nminimum: \nq1: \nmedian: \nq3: \nmaximum: \n\nblank 1: \nblank 2: \nblank 3: \nblank 4: \nblank 5: \nblank 6:

Answer

Explanation:

Step1: Arrange data in ascending order for first - part

The data set is (0,2,2,4,5,5,5,5,7,11).

Step2: Find minimum for first - part

The minimum value is (0).

Step3: Calculate position of Q1 for first - part

There are (n = 10) data points. The position of (Q1) is (i=\frac{n + 1}{4}=\frac{10+1}{4}=2.75). So (Q1=2+(0.75)\times(4 - 2)=2 + 1.5 = 2).

Step4: Calculate position of median for first - part

The position of the median is (i=\frac{n+1}{2}=\frac{10 + 1}{2}=5.5). So the median is (\frac{5+5}{2}=5).

Step5: Calculate position of Q3 for first - part

The position of (Q3) is (i=\frac{3(n + 1)}{4}=\frac{3\times(10 + 1)}{4}=8.25). So (Q3=5+(0.25)\times(7 - 5)=5+0.5 = 5).

Step6: Find maximum for first - part

The maximum value is (11).

Step7: Arrange data in ascending order for second - part

After removing (0), the data set is (2,2,4,5,5,5,5,7,11). There are (n = 9) data points.

Step8: Find minimum for second - part

The minimum value is (2).

Step9: Calculate position of Q1 for second - part

The position of (Q1) is (i=\frac{n + 1}{4}=\frac{9+1}{4}=2.5). So (Q1=\frac{2 + 4}{2}=3).

Step10: Calculate position of median for second - part

The position of the median is (i=\frac{n+1}{2}=\frac{9 + 1}{2}=5). So the median is (5).

Step11: Calculate position of Q3 for second - part

The position of (Q3) is (i=\frac{3(n + 1)}{4}=\frac{3\times(9 + 1)}{4}=7.5). So (Q3=\frac{5+7}{2}=6).

Step12: Find maximum for second - part

The maximum value is (11).

Answer:

  1. Minimum: (0) Q1: (2) Median: (5) Q3: (5) Maximum: (11)
  2. Minimum: (2) Q1: (3) Median: (5) Q3: (6) Maximum: (11)