Question

priya is playing a game where she earns online badges for scoring higher than the mean score on a level. after the tenth level, she scores 3,540 points, which is 2 standard deviations above the mean score of 3,110 points. what is the standard deviation of scores for the tenth level? 215 311 354 430

Explanation:

Step1: Set up the equation

Let the standard deviation be \( \sigma \). We know that \( 3540=3110 + 2\sigma \) (since the score is 2 standard deviations above the mean).

Step2: Solve for \( \sigma \)

Subtract 3110 from both sides: \( 3540 - 3110=2\sigma \). So, \( 430 = 2\sigma \). Then divide both sides by 2: \( \sigma=\frac{430}{2}=215 \).

Answer:

215