How Many Chocolate Chips Are in Your Bag?
What is the 27th percentile for the number of chocolate chips in a bag?
a. 1100
b. 1182
c. 1200
The 27th percentile for the number of chocolate chips in a bag is approximately 1182 chips.
To determine the 27th percentile for the number of chocolate chips in a bag, we need to find the z-score corresponding to the 27th percentile. Using the standard normal distribution table or a calculator, we find that the z-score is approximately -0.615. Next, we use the formula z = (x - mean)/standard deviation and rearrange it to solve for x. Plugging in the values, we get x = -0.615(118) + 1262 = 1182.57, which we round down to 1182. Therefore, the 27th percentile for the number of chocolate chips in a bag is approximately 1182 chips.