Question

The mean, the median, the mode and the range of the following data:
$84,56,39,45,54,39,56,54,84,21,77,56$

• A. Median $=55$
• B. Mode$=56$
• C. Mean $=58$
• D. Range $=63$

Answer 1

Answer: (A), (B), (D)

The correct options are
A Median $=55$
B Mode$=56$
D Range $=63$

Arranging the given series in ascending order.
$21,39,39,45,54,54,56,56,56,77,84,84$
Number of terms $=12$
$\therefore$ Mode $=56$
Range $=$ Highest value $-$ Lowest value
$=84-21$ $=$ $63$
Median $=\frac{6^{th}\text{term}+7^{th}\text{term}}{2}=\frac{54+56}{2}=55$
Therefore, mean $=\frac{665}{12}=55.42$