player played 20 seasons. The following table shows the number of games in which

Question

player played 20 seasons. The following table shows the number of games in which he played during each of his 20 seasons. Complete parts (a A professional hockey through (e) below. 35 74 75 75 76 77 43 77 70 79 68 71 82 76 70 71 69 64 79 71 a. obtain and interpret the quartiles. ype integers or decimals.) Interpret the quartiles. Choose the correct an below. O A. The quartiles suggest that all the seasons fall between 69.5 games and 76.5 games. O B. The quartiles suggest that the average of the games played each season is 72.5. O C. The quartiles suggest that 25% of the seasons have less than 69.5 games played, 25% are between 69.5 games and 72.5 games, 25% are between 72.5 games and 76.5 games, and 25% are greater than 76.5 games. O D. The quartiles suggest that 33% of the seasons have less than 69.5 games played, 33% are between 69.5 games and 76.5 games, and 33% are greater than 76.5 games b. Determine and interpret the interquartile range (IQR) QR Simplify your answer. Type an integer or decimal

Explanation / Answer

The statistical software output for this data is:

Summary statistics:

So,

a)

Q1 = 69.5

Q2 = Median = 72.5

Q3 = 76.5

Interpretation: Since quartiles covers 25% of the area between them, option C is correct.

b) IQR = 7

Interpretation: IQR represents the middle 50% of the observations. Hence, option C is correct.

c) Five number summary:

35, 69.5, 72.5, 76.5, 82

Interpretation: Option A seems correct.

Column Min Q1 Median Q3 Max IQR var1 35 69.5 72.5 76.5 82 7

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