what chip amount represents the 67th percentile for the bag weight distribution
To find the chip amount that represents the 67th percentile for the bag weight distribution, you will need the bag weight distribution data. Specifically, you need to know the weight of each bag of chips.
Once you have the bag weight data, follow these steps:
1. Organize the bag weights in ascending order from smallest to largest.
2. Calculate the percentile rank of the 67th percentile. This can be done using the formula:
Percentile rank = (P/100) * (N + 1), where P is the percentile you're interested in (in this case, 67), and N is the total number of observations in the dataset (the number of bags of chips).
For example, if there are 100 bags of chips, the percentile rank would be (67/100) * (100 + 1) = 68.34.
3. Round down the percentile rank value to the nearest whole number since you want to find the chip amount that represents the 67th percentile (not a fraction of a bag).
In this case, rounding down 68.34 would give you 68.
4. Locate the bag weight corresponding to the 68th observation in the sorted list of bag weights.
For example, if the 68th bag in the sorted list weighs 150 grams, then 150 grams represents the chip amount that represents the 67th percentile for the bag weight distribution.
Remember, to find the chip amount that represents the 67th percentile for the bag weight distribution, you need the actual bag weight data and follow the steps outlined above.