Answer:
Mean = 86.067
Median = 85
Step-by-step explanation:
The given data set is
{ 93, 94, 95, 89, 85, 82, 87, 85, 84, 80, 78, 78, 84, 87, 90 }
Number of observations = 15
Formula for mean:
[tex]Mean=\frac{\sum x}{n}[/tex]
where, n is number of observations.
Using the above formula, we get
[tex]Mean=\frac{93+94+95+89+85+82+87+85+84+80+78+78+84+87+90}{15}[/tex]
[tex]Mean=\frac{1291}{15}[/tex]
[tex]Mean\approx 86.067[/tex]
Therefore the mean of the given data set is 86.067.
Arrange the given data set in ascending order.
{ 78, 78, 80, 82, 84, 84, 85, 85, 87, 87, 89, 90, 93, 94, 95 }
Number of observation is 15 which is an odd term. So
[tex]Median=(\frac{n+1}{2})\text{th term}[/tex]
[tex]Median=(\frac{15+1}{2})\text{th term}[/tex]
[tex]Median=8\text{th term}[/tex]
[tex]Median=85[/tex]
Therefore the median of the data set is 85.
