Mean of 10 numbers is 30. Later on it was observed that numbers 15, 23 are wrongly taken as 51, 32. The correct mean is :

A. 25.5

B. 32

C. 30

D. 34.5

Show Answer

Answer-A
Solution-

Solution(By Apex Team)

According to the question, Mean of 10 numbers is = 30 ∴ Sum of 10 numbers is = 300 It was observed that numbers 15, 23 are wrongly taken as 51, 32 Difference, =(51+32) – (23+15) = 83 – 38 = 45(more) ∴ Actual Sum of 10 numbers, = 300 – 45 = 255 ∴ Actual average of 10 numbers, $=\Large\frac{255}{10}$

  • A grocer has a sale of Rs. 6435, Rs. 6927…

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    A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?

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    Solution(By Apex Team)

    Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) $\begin{array}{l}\text{= Rs. 34009}\\ \text{∴ Required sale}\\ \text{= Rs. [(6500 × 6) – 34009]}\\ \text{= Rs. (39000 – 34009)}\\ \text{= Rs. 4991}\end{array}$

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