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Averages · Question 42 of 62

Question 42

EasyOriginal question

The average of 20 observations was calculated as 45. It was later found that the value 36 had been wrongly read as 63. What is the correct average?

Options for question 42

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Wrong total = 20×45=90020 \times 45 = 900.

  2. Correct total = 900−63+36=873900 - 63 + 36 = 873.

  3. Correct average = 87320=43.65\frac{873}{20} = 43.65.

Worth noting

The wrong entry was too big by 27, so the average must go DOWN, by 27÷20=1.3527 \div 20 = 1.35. Adding 1.35 gives 46.35.

Concept
Correcting a misread value
Typical time
40 s
Your time
—
The rule this testsChange in average
Practise this chapter →

Ten questions from Averages, at your own pace.

Practise this chapter →

Ten questions from Averages, at your own pace.