The sample standard deviation of [2, 4, 4, 4, 5, 5, 6, 6, 7] is approximately which value?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $24.99Unlock all

Enhance your understanding of Descriptive Statistics and Probability. Study with interactive questions and detailed explanations. Prepare effectively for your test!

Multiple Choice

The sample standard deviation of [2, 4, 4, 4, 5, 5, 6, 6, 7] is approximately which value?

Explanation:
The sample standard deviation measures how spread out the data are around the mean, using n−1 in the denominator to give an unbiased estimate of variability for a sample. Start by finding the mean of the nine values: sum is 43, so the mean is 43/9 ≈ 4.7778. Next, compute the squared differences from the mean for each value and add them up. These squared deviations total 1422/81. Divide by n−1 (which is 8) to get 1422/648 = 79/36 ≈ 2.19444. Take the square root to obtain sqrt(79/36) = sqrt(79)/6 ≈ 1.481. Hence the sample standard deviation is about 1.48, which matches the given option.

The sample standard deviation measures how spread out the data are around the mean, using n−1 in the denominator to give an unbiased estimate of variability for a sample. Start by finding the mean of the nine values: sum is 43, so the mean is 43/9 ≈ 4.7778. Next, compute the squared differences from the mean for each value and add them up. These squared deviations total 1422/81. Divide by n−1 (which is 8) to get 1422/648 = 79/36 ≈ 2.19444. Take the square root to obtain sqrt(79/36) = sqrt(79)/6 ≈ 1.481. Hence the sample standard deviation is about 1.48, which matches the given option.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy