## Forty Randomly Selected Students Were Asked The Number Of Pairs

To calculate the percentile rank, first use the formula n = (P/100) x N, where P = percentile and N = number of values in the data set. Then, arrange the data points in ascending order and calculate the rank using the formula r = (p/100) * n. Multiply the result by 100 to get a percentage, which will show where a student's score falls in comparison to others. This formula is commonly used in schools for determining performance.

To find the 40th percentile for the number of pairs of sneakers owned, we can use the following steps:

- Calculate the rank for the 40th percentile using the formula ( r = \frac{P}{100} \times N ), where ( P ) is the percentile (40 in this case) and ( N ) is the total number of values in the data set (40 in this case).
- Once we have the rank, we can identify the corresponding value in the ordered data set.

Given the provided data set, the 40th percentile rank can be calculated as follows: [ r = \frac{40}{100} \times 40 = 0.4 \times 40 = 16 ]

Next, when we arrange the data in ascending order, we find that the 16th value in the ordered data set is 4, as there are 3 occurrences of 1, 3 occurrences of 2, 7 occurrences of 3, and 13 occurrences of 4, which total to 26 values.

Therefore, the 40th percentile for the number of pairs of sneakers owned is 4.

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