Question

given the data set 47, 51, 53, 59, 75, 63, 84, 52. what are the mean and median of this data set? enter the answers. mean: blank median: blank

Explanation:

Step1: Calculate the sum of data

$47 + 51+53+59+75+63+84+52=484$

Step2: Calculate the mean

The number of data points $n = 8$. Mean $\bar{x}=\frac{484}{8}=60.5$

Step3: Arrange data in ascending - order

$47,51,52,53,59,63,75,84$

Step4: Calculate the median

Since $n = 8$ (an even - numbered data set), the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered data points. $\frac{n}{2}=4$ and $\frac{n}{2}+1 = 5$. The 4th value is $53$ and the 5th value is $59$. Median $=\frac{53 + 59}{2}=56$

Answer:

Mean: $60.5$
Median: $56$