Question

For the given stem-and-leaf plot, which of these is highest?

Stem	Leaf
$6$	$269$
$7$	$31$
$8$	$1567$
$9$	$3$

Key $6|2=62$

• A. Median
• B. Range
• C. Mode
• D. Mean

Answer 1

The correct option is D Mean

Based on the stem-and-leaf plot, the values are:
$62,66,69,73,71,81,85,86,87,93$

$\text{Mean}=\frac{\text{sum of all the values}}{\text{number of values}}$

Mean $=\frac{62+66+69+73+71+81+85+86+87+93}{10}$

Mean $=\frac{773}{10}$
Mean $=77.3$

Median:
Arrange the data in ascending order as
$62,66,69,71,73,81,85,86,87,93$
Since there is an even number of terms, we need to add the two middle values and divide the sum by $2.$
Median $=\frac{73+81}{2}$
Median $=77$

Range $=$ Maximum value $–$ Minimum value
Range $=93–62$
Range $=31$
The data set has no mode.
So, the mean is the greatest and option A is the correct answer.