Another one Igimoh — let's solve it.
The image explains the concept of the Arithmetic Mean or Simple Mean.
Step 1: Understand the definition of the Arithmetic Mean.
The arithmetic mean, denoted as xˉ (read as "x bar"), is a measure of central tendency. It is calculated by summing all the values in a dataset and then dividing by the total number of values in that dataset.
Step 2: State the formula for the Sample Mean.
The formula for the sample mean is given by:
xˉ=n∑i=1nxi
where:
• ∑i=1nxi represents the sum of all individual data values.
• n represents the total number of data values in the sample.
Step 3: Apply the formula to the given example.
The example provides a sample of birth weights (in grams) and states that there are n=20 values. Although not all 20 values are fully visible in the image, the sum of these values is given as ∑xi=63338 grams.
Substitute these values into the formula:
xˉ=2063338
Step 4: Calculate the sample mean.
xˉ=3166.9
The sample mean of the birth weights is 3166.9g.
What's next?