Find the value of x^2 + 3xyz + 2y^ + 3z^2 where x = Mean , y = Median and z = Mode of following num

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07 Sep 2018 Find Value of

Find the value of x^2 + 3xyz + 2y^ + 3z^2
where x = Mean , y = Median and z = Mode of following numbers:
83 87 93
97 110 48 114 119
87 118 122

OPtion

1) 2512195
2) 2522195
3) 2532795
4) 2542195
5) 2552195
6) 2532195
7) 2562195
8) 2572195
9) 2582195
10) None of these

Solution

Mean x = Sum of nos. / Count of numbers = 1078/11 = 98
Median y = Middle term when number are arranged in ascending order = 97
Mode z = Number which is present maximum number of times = 87
x^2 + 3xyz + 2y^2 + 3 z*2 = (98)^2 + 3*98*97*87 + 2*(97)^2 + 3*(87)^2 = 2532195


Option 6)

Correct Option: 6 Best Solution (0)