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name: syncere cobbs question 1 find the mean of the follwing data set: …

Question

name: syncere cobbs
question 1
find the mean of the follwing data set:
4.2, 11.5, 6.8, 5.2, 5.4, 6.3, 12.1, 11.5, 11.9, 7.8, 13.1, 5.8, 6.2
6.3
8.3
6.2
8.1
question 2
find the median of the follwing data set:
12, 0, 8, 4, 6, 3, 7, 3, 2, 9, 5, 6, 7, 7, 8
6
5.8
6,5
7

Explanation:

Step1: Sum all data values

$4.2 + 11.5 + 6.8 + 5.2 + 5.4 + 6.3 + 12.1 + 11.5 + 11.9 + 7.8 + 13.1 + 5.8 + 6.2 = 107.8$

Step2: Count total data points

$n = 13$

Step3: Calculate the mean

$\text{Mean} = \frac{107.8}{13} = 8.3$

Step4: Sort the second data set

$0, 2, 3, 3, 4, 5, 6, 6, 7, 7, 7, 8, 8, 12$

Step5: Find median position

$\text{Position} = \frac{14 + 1}{2} = 7.5$

Step6: Compute median value

$\text{Median} = \frac{6 + 6}{2} = 6$

Answer:

Question 1: 8.3
Question 2: 6