How can you use a scatter plot to find a trend line
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Question
The data in this question will be utilized for the next three questions. The number of pets a group of students has, are given below.
Number of pets: 0-2 2-4 4-6 6-8 8-10 10-12 12-14
Number of students: 1 2 1 5 6 2 3
Calculate
(1) Mean (2) Sample Variance (3) Sample Standard Deviation
Answer:
Step-by-step explanation:
Given
The above data
First, we calculate the class midpoint (x)
Pets:
x 1 3 5 7 9 11 13
f: 1 2 1 5 6 2 3
The class midpoint (x) is calculated by the average of each group.
For pets: 0 - 2.
The same is done for other groups.
Solving (a): Mean
This gives:
Solving (b): Sample Variance
This is calculated as:
So:
Solving (c): The sample standard deviation
This is calculated as: