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Pedro, Alex, and Jaime are having a free-throw shooting contest. Each boy

takes six turns and records the number of free throws he makes out of 10
shots. Which boy's median is greatest?
Pedro: 4, 5, 6, 7, 8, 9
Alex: 3, 5, 5, 5, 9, 9
Jaime: 3, 4, 6, 8, 8, 9

a. pedro
b. alex
c. jaime
d. none of the above

1 Answer

1 vote

Final answer:

The median for Jaime is 7, which is the greatest compared to Pedro's 6.5 and Alex's 5. Therefore, Jaime has the greatest median score. Therefore correct option is C

Step-by-step explanation:

To determine which boy's median is greatest, we first need to order the number of free throws made from least to greatest for each boy. Then we'll find the median, which is the middle value of an ordered set, or the average of the two middle numbers if the set has an even number of values.

  • Pedro's scores in order: 4, 5, 6, 7, 8, 9
  • Alex's scores in order: 3, 5, 5, 5, 9, 9
  • Jaime's scores in order: 3, 4, 6, 8, 8, 9

We know that with six scores, the median will be the average of the third and fourth scores.

Pedro's median: (6 + 7)/2 = 13/2

= 6.5
Alex's median: (5 + 5)/2 = 10/2

= 5
Jaime's median: (6 + 8)/2 = 14/2

= 7

Comparing these medians, we can see that Jaime's median of 7 is the greatest. Therefore, the correct answer is c. Jaime.

User Shailender Arora
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