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QUESTION

# What is the mode, median, and mean of 3, 12, 11, 7, 5, 5, 6, 4, 10?

Mode is 5, median is 6 and mean is 7.

Let us write the given data points in increasing order. These are

{3,4,5,5,6,7,10,11,12}

Now mode is the data point which appears most time and it is clearly 5.

Median is the data point which appears exactly in the center when data is arranged in increasing order. As there are 9 data points already arranged in increasing order, median is the value of middle i.e 5^(th) data point (equal to (9+1)/2=5. Hence median is 6.

Mean is the arithmetic average which is 1/9(3+4+5+5+6+7+10+11+12)=1/9xx63=7

Hence, Mode is 5, median is 6 and mean is 7.