P = {105, 106, 107, 108, 109, x}
Set P above consists of 6 integers. For what value of x are the mode, the median and the average equal? Choose the most appropriate option
A) 105	B) 106	C) 107	D) 108	E) 109
Mode of a set is the number with max frequency.   Median for an even numbered set is the average of middle terms.   Average or mean is the sum of the set/No. of elements in the set.   Going from the answer choices, if we use 107 as the missing number.   The set becomes {105, 106, 107, 107, 108, 109}   Now the mode, median and mean are all same, 107   ANS (Option 107)
<result>C</result>
P = {105, 106, 107, 108, 109, x}
Set P above consists of 6 integers. For what value of x are the mode, the median and the average equal?