Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Both sets of values have an average of 13. Is Set A's standard deviation smaller, larger, or about the same as Set B's? (Note: This question can be answered by knowing the concept of standard deviation, without actually computing the standard deviation). Set A: 1 2 3 23 24 25 Set B: 9 10 11 14 16 18

Sagot :

leena

Hi there!

Set A has a LARGER standard deviation.

A set's standard deviation is equivalent to:

[tex]\sigma = \frac{\sqrt{\Sigma (x - \mu)^2 }}{n-1}[/tex]

σ = standard deviation

x = value

μ = mean

n = # of observations

Basically, standard deviation is calculated using how far apart EACH value is from the set's mean. If more values are FARTHER away from the mean, the standard deviation increases and vice-versa.

Set A has a GREATER RANGE and its values are farther from 13 on both sides compared to Set B which has a SMALLER RANGE and its values are closer to 13.

Therefore, Set A will have a larger standard deviation.

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.