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Mean, Median and Mode · Question 42 of 67

Question 42

MediumOriginal question

Seven players in a bowling league scored 41, 45, 52, 58, 60, 67 and 73. An eighth player then joins and scores 49. What is the median score of all eight players?

Options for question 42

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Sorted with the new score: 41, 45, 49, 52, 58, 60, 67, 73.

  2. With 8 values the median is the average of the 4th and 5th: 52+582=55\frac{52 + 58}{2} = 55.

Worth noting

58 is the old median. 59 averages 58 and 60, which is what you would get if the new score were above the middle. 56 pairs 52 with 60.

Concept
How a new value changes the median
Typical time
70 s
Your time
—
The rule this testsWhen values change
Practise this chapter →

Ten questions from Mean, Median and Mode, at your own pace.

Practise this chapter →

Ten questions from Mean, Median and Mode, at your own pace.