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The ratings for the ten leading passers in the league for the 2009 regular season are ranked in the table. Construct a box plot for the rating points data.

Rank: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
NFL Passer: A, B, C, D, E, F, G, H, I, J
Rating Points: 93.5, 96.3, 97.9, 98.9, 99.3, 101.1, 103.9, 104.8, 105.1, 109.5

Choose the correct graph below:

A. Q1 = 98.9, Q2 = 101.1, Q3 = 105.1
B. Q1 = 96.3, Q2 = 98.9, Q3 = 101.1
C. Q1 = 97.9, Q2 = 100.2, Q3 = 104.8

Answer :

The minimum value, the first quartile (Q1), the median, the third quartile (Q3), and the maximum value must all be calculated before we can create a box plot for the rating points data.

The median of the lower and upper halves of the data must be determined in order to determine the first and third quartiles, respectively. The numbers from the minimum to the median make up the lower half of the data, while the values from the median to the highest make up the upper half.

We must first organize the numbers in numerical order: 93.5, 96.3, 97.9, 98.9, 99.3, 101.1, 103.9, 104.8, 105.1, 109.5. This will help us determine the median of the lower half of the data. The lower half's mean, which is (99.3 + 101.1) / 2 = 100.2, is then the average of the fifth and sixth values.

Again, the numbers must be arranged in numerical order to determine the median of the upper half of the data: 93.5, 96.3, 97.9, 98.9, 99.3, 101.1, 103.9, 104.8, 105.1, and 109.5. The average of the sixth and seventh numbers, or (101.1 + 103.9) / 2, equals 102.5, which is the median of the top half.

Following that, Q1 = 100 indicates the first and third quartiles.

For more information on quartile kindly visit to

https://brainly.com/question/24329548

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