Question

1. 7,3,4,1,7,6 find the mean mean = 4 5) 7,3,4,1,7,6 find the median

Explanation:

Step1: Calculate the sum of data

$7 + 3+4 + 1+7+6=28$

Step2: Determine the number of data points

There are 6 data - points, $n = 6$.

Step3: Calculate the mean

Mean=$\frac{\text{Sum of data}}{\text{Number of data points}}=\frac{28}{6}=\frac{14}{3}\approx4.67$

Step4: Arrange data in ascending order

$1,3,4,6,7,7$

Step5: Calculate the median

Since $n = 6$ (an even number), the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+ 1)$th ordered data points. $\frac{n}{2}=3$ and $\frac{n}{2}+1 = 4$. The 3rd value is 4 and the 4th value is 6. Median=$\frac{4 + 6}{2}=5$

Answer:

1. Mean: $\frac{14}{3}\approx4.67$
2. Median: 5