Question

5. An exam was conducted in a state over 222 centres. The average number of applicants per centre
was found to be 1560. However, it was later realized that in one centre, the number of applicants was
counted as 1857 instead of 1747. What was the correct average number of applicants per centre (upto
two decimals)?
O 1559.53
O 1359.51
O 1559-51
1559
O None of these​

Answer 1

Answer: 1559.50

Step-by-step explanation:

• No. of exam centres=222
• Average number of applicants per centre=1560
• Total number of applicants=(222×1560)

                                                       =346320

• Error in counting=1857-1747

                                     =110

• Actual number of applicants=346320-110

                                                           =346210

• Average number of applicants=$\frac{346210}{222}$

                                                            =1559.50

• Hence,actual average of applicants is 1559.50.

Answer 2

Given ,

1. No. of exam centres=222
2. Average number of applicants per centre=1560
3. Total number of applicants=(222×1560) =346320

to find : average number of applicants per centre

solution :

Error in counting=1857-1747 =110

Actual number of applicants=346320-110 =346210

$Average \: number \: of \: applicants=\frac{346210}{222} =1559.50$

Hence,actual average of applicants is 1559.50.

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