Given: The data below
[tex]-8.1,-2.4,4.7,4.7,6.6,8.3,9.5[/tex]
To Determine: The mean, median and mode of the given data
Solution
The mean of a set of data is given by the formula
[tex]\begin{gathered} mean=\frac{\Sigma x}{n} \\ \Sigma x=summation\text{ of all the numbers given} \\ n=number\text{ of numbers given} \end{gathered}[/tex]
Apply the formula to calculate the mean of the given data
[tex]mean=\frac{-8.1+(-2.4)+4.7+4.7+6.6+8.3+9.5}{7}[/tex][tex]\begin{gathered} mean=\frac{-8.1-2.4+4.7+4.7+6.6+8.3+9.5}{7} \\ mean=\frac{23.3}{7} \\ mean=3.32857 \\ mean\approx3.3 \end{gathered}[/tex]
Calculate the median
Re-arrange the data in ascending order
[tex]-8.1,-2.4,4.7,4.7,6.6,8.3,9.5[/tex]
Locate the middle number
There are seven number from position 1st to 7th.
The middle number is the number in the 4th position
From the above, the 4th number
