Compute the weighted mean for weights w = [2, 1] and values x = [3, 5].

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

Compute the weighted mean for weights w = [2, 1] and values x = [3, 5].

Explanation:
Weighted mean assigns more influence to values with larger weights, using the formula sum(w_i x_i) divided by sum(w_i). Here, compute (2×3 + 1×5) / (2 + 1) = (6 + 5) / 3 = 11/3 ≈ 3.667. Since the first value has a higher weight, the average shifts toward 3 rather than 5, landing at about 3.667. This matches the option that equals 3.667.

Weighted mean assigns more influence to values with larger weights, using the formula sum(w_i x_i) divided by sum(w_i). Here, compute (2×3 + 1×5) / (2 + 1) = (6 + 5) / 3 = 11/3 ≈ 3.667. Since the first value has a higher weight, the average shifts toward 3 rather than 5, landing at about 3.667. This matches the option that equals 3.667.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy