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:
(Rounded 1 decimal place)
Therefore the mean is 8.4.
Median
To find the mean, first add up all the frequency values.
Because the number (31) is odd, the median is at the 16th position.
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.