An estate agent listed the monthly rents (in ₹) of seven flats as 9,500; 11,200; 10,800; 12,600; 18,000; 13,400 and 9,900. The entry ₹18,000 was a typing error for ₹8,100. What is the correct median rent?

₹9,900Correct answerYour answer₹10,800Correct answerYour answer₹11,000Correct answerYour answer₹11,200Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

Correct list in order: 8,100; 9,500; 9,900; 10,800; 11,200; 12,600; 13,400.
The median is the 4th value: ₹10,800.

Worth noting

₹11,200 is the median of the wrong list. Moving a value from the top of the list to the bottom shifts every position, so the median changes even though only one entry was fixed.

Concept: Effect of correcting an entry on the median
Typical timeTypical: 70 s
Your timeYours: —

The rule this testsWhen values change

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

An estate agent listed the monthly rents (in ₹) of seven flats as 9,500; 11,200; 10,800; 12,600; 18,000; 13,400 and 9,900. The entry ₹18,000 was a typing error for ₹8,100. What is the correct median rent?

Explanation