10) The data below is the number of points the New York Giants scored during each of the 16 games of the 2008 regular season. 16, 41, 26, 44, 14, 29, 21, 35, 36, 30, 37, 23, 14, 8, 34, 19 Which of the following is the interquartile range? A) 36.0 B) 35.5 C) 18.0 D) 27.5

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**Problem 10: Analyzing New York Giants' 2008 Regular Season Scores**

*Question:*

The data below is the number of points the New York Giants scored during each of the 16 games of the 2008 regular season.

- Scores: 16, 41, 26, 44, 14, 29, 21, 35, 36, 30, 37, 23, 14, 8, 34, 19

Which of the following is the interquartile range?

A) 36.0  
B) 35.5  
C) 18.0  
D) 27.5  

*To Solve:*

1. **Order the data:**  
   8, 14, 14, 16, 19, 21, 23, 26, 29, 30, 34, 35, 36, 37, 41, 44

2. **Find the median (Q2):** We have 16 data points, so the median will be the average of the 8th and 9th values.
   - Median (Q2) = (26 + 29) / 2 = 27.5

3. **Find the first quartile (Q1):** Q1 is the median of the first half of the data (first 8 numbers).
   - First half: 8, 14, 14, 16, 19, 21, 23, 26
   - Q1 = (16 + 19) / 2 = 17.5

4. **Find the third quartile (Q3):** Q3 is the median of the second half of the data (last 8 numbers).
   - Second half: 29, 30, 34, 35, 36, 37, 41, 44
   - Q3 = (35 + 36) / 2 = 35.5

5. **Calculate the interquartile range (IQR):**
   - IQR = Q3 - Q1 = 35.5 - 17.5 = 18.0

*Answer:* The interquartile range is C) 18.0
Transcribed Image Text:**Problem 10: Analyzing New York Giants' 2008 Regular Season Scores** *Question:* The data below is the number of points the New York Giants scored during each of the 16 games of the 2008 regular season. - Scores: 16, 41, 26, 44, 14, 29, 21, 35, 36, 30, 37, 23, 14, 8, 34, 19 Which of the following is the interquartile range? A) 36.0 B) 35.5 C) 18.0 D) 27.5 *To Solve:* 1. **Order the data:** 8, 14, 14, 16, 19, 21, 23, 26, 29, 30, 34, 35, 36, 37, 41, 44 2. **Find the median (Q2):** We have 16 data points, so the median will be the average of the 8th and 9th values. - Median (Q2) = (26 + 29) / 2 = 27.5 3. **Find the first quartile (Q1):** Q1 is the median of the first half of the data (first 8 numbers). - First half: 8, 14, 14, 16, 19, 21, 23, 26 - Q1 = (16 + 19) / 2 = 17.5 4. **Find the third quartile (Q3):** Q3 is the median of the second half of the data (last 8 numbers). - Second half: 29, 30, 34, 35, 36, 37, 41, 44 - Q3 = (35 + 36) / 2 = 35.5 5. **Calculate the interquartile range (IQR):** - IQR = Q3 - Q1 = 35.5 - 17.5 = 18.0 *Answer:* The interquartile range is C) 18.0
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