Question

Bags of flour at a local grocery store have a mean weight of 83 ounces with a standard deviation of 2 ounces. Which weight represents the 65th percentile?

Answer 1

Answer:

x = 83.77 ounces

Step-by-step explanation:

Mean weight, μ = 83 ounces

Standard deviation, σ = 2 ounces

z score for 65th percentile = 0.385

z = (x - μ) / σ

Where,

z = z-score

x = raw score

μ = population mean

σ = population standard deviation

z = (x - μ) / σ

0.385 = (x - 83) / 2

Cross product

0.385 × 2 = x - 83

0.77 = x - 83

0.77 + 83 = x

83.77 = x

x = 83.77 ounces