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Mean, Median and Mode · Question 57 of 67

Question 57

MediumOriginal question

A library adds 7 days to the loan period of every book on its shelves. Which of these measures of the loan periods stays the same?

Options for question 57

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Adding 7 to every value adds 7 to the mean, the median and the mode.

  2. The largest and smallest both rise by 7, so their difference, the range, is unchanged.

Worth noting

A shift moves every average but does not change how spread out the data are.

Concept
Range is unaffected by adding a constant
Typical time
70 s
Your time
—
The rule this testsRange and spread
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.