Originally Posted by
RogueDemon Mode
The x value of 10 has the highest frequency (11). Therefore, the mode is 10.
Mean
To find the mean, a new set of values must be added to the frequency table. This set of values will be called "x * Frequency". In this set of values, the values equal to x multiplied by the frequency. So the values are: 30, 42, 16, 63, 110.
The mean can then be calculated using the formula:
$\displaystyle Mean = \frac{Sum of (x * Frequency)}{Total Frequency}$
$\displaystyle Mean = \frac{261}{31}$
$\displaystyle Mean = 8.4$ (Rounded 1 decimal place)
Therefore the mean is 8.4.
Median
To find the mean, first add up all the frequency values.
$\displaystyle 5 + 6 + 2 + 7 + 11 = 31$
Because the number (31) is odd, the median is at the 16th position.
$\displaystyle (\frac{n + 1}{2}) = (\frac{31 + 1}{2}) = 16 $
To find out the 16th position, add up the frequencies as follows:
x: 6, 7, 8, 9, 10
F: 5, 6, 2, 7, 11
P: 5, (5 + 6)= 11, (11 + 2) = 13, (13 + 7) = 20, (20 + 11) = 31
The 16th position is after the 13th position and the 20th position.
Therefore the median is 7.