A problem by bhanu priya

Level pending

four integers are added to a group of integers 3,4,5,5 and 8 and the mean, median and mode of the data increases by 1 each. What is the greatest integer in the new group of integers?


The answer is 11.

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1 solution

Yatin Khanna
Aug 20, 2016

From the data; we see that the mode,median and mean, all are equal to 5 5
Hence, all measures for new data must be 6 6 .
For 6 6 to be mode; there must be at least three 6 s 6's
Now, clearly for mean to be 6, the remaining number should be 11 and hence;
Answer is 11 \boxed{11}


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