Question

The Atlanta Braves baseball team has a mean batting average of 250 with a standard deviation of 20. Assume the batting averages are approximately normally distributed.

What percent of Braves players fall between 230 and 270?

Answer 1

Answer:

68 %

Step-by-step explanation:

Since we have our mean x = 250 and standard deviation σ = 20, we need to find how many standard deviations away the values 230 and 270 are.

Note x - σ = 250 - 20 = 230 and x + σ = 250 + 20 = 270

The values are one standard deviation away.

So, the values between 230 and 270 lie in the range x - σ to x + σ.

Since the batting averages are approximately normally distributed and for a normal distribution, 68 % of the values lie in the range x - σ to x + σ.

So, 68 % of Braves players fall between 230 and 270.