Question

For the data set shown in the dot plot below, which of the following is closest to its population standard deviation?

A. 2.7
B. 4.2
C. 3.3
D. 5.8

Answer 1

To find the population standard deviation, use the formula for standard deviation and calculate the value for the given data set. Compare the result with the given options to find the closest value.

Step-by-step explanation:

To find the population standard deviation, we need to calculate the standard deviation of the given data set. To do this, we can use the formula:

Standard Deviation = sqrt( ∑(x - mean)^2 / N )

where x is each data point, mean is the mean of the data set, and N is the number of data points. After calculating the standard deviation, we can compare it with the given options to find which one is closest.

Let's calculate the standard deviation:

1. Find the mean of the data set.
2. Subtract the mean from each data point and square the result.
3. Sum up all the squared results.
4. Divide the sum by the number of data points.
5. Take the square root of the result to find the standard deviation.

After calculating the standard deviation, we can compare it with the given options to find which one is closest. The answer to the question is option ____.