Answer :
The value 197 is at the 31.58th percentile.
To find the 70th percentile, you need to follow these steps:
1. Sort the data in ascending order: 151, 157, 160, 174, 175, 188, 197, 209, 214, 230, 238, 246, 247, 251, 257, 260, 266, 271, 274.
2. Calculate the rank of the 70th percentile using the formula: (70/100) * (n + 1), where n is the number of data points. In this case, n = 19.
(70/100) * (19 + 1) = 0.7 * 20 = 14.
So, the 70th percentile falls at the 14th position in the sorted data.
3. Locate the value at the 14th position in the sorted data. In this case, the value is 230.
This means that 70% of the data values are less than or equal to 230.
Regarding the second question about the percentile of the value 197:
1. To find the percentile rank of a given value, you need to determine the percentage of values that are less than or equal to it.
2. First, count the number of values that are less than or equal to 197. In this case, there are 6 values: 151, 157, 160, 174, 175, and 188.
3. Next, calculate the percentile rank using the formula: (r / n) * 100, where r is the number of values less than or equal to the given value and n is the total number of data points.
(6 / 19) * 100 = 31.58 (rounded to two decimal places).
Therefore, the value 197 is at the 31.58th percentile.
Note: Percentiles represent the relative position of a value within a dataset. They are used to understand how a particular value compares to others in the dataset.
To know more about percentile refer here:
https://brainly.com/question/13638390
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