Question

X, Y, Z are three sets of values.
Which of the following statements is true?

• A. Mean of X is equal to Mode of Z.
• B. Mean of Z is equal to Mode of Y.
• C. Median of Y is equal to Mode of X.
• D. Mean, Median and Mode of X are same.

Answer 1

The correct option is D Mean, Median and Mode of X are same.

Arranging the data ascending order we get

$X:1,2,2,3,3,3,7$; $Y:3,5,5,7,8,9,12$ and $Z:2,3,4,4,4,7,11$

Mean of $X=\frac{1+2+2+3+3+3+7}{7}=3$

Mean of $Y=\frac{3+5+5+7+8+9+12}{7}=7$

Mean of $Z=\frac{2+3+4+4+47+11}{7}=5$

Mode of $X=3$

Mode of $Y=5$

Mode of $Z=4$

Median of $X=3$

Median of $Y=7$

Median of $Z=4$