Answer :
Final answer:
The 36th percentile of the given weights is calculated by using the percentile rank formula. The rank is found to be 2.88, which when rounded corresponds to the third data value in the ordered list, resulting in a weight of 135 pounds. The correct option for the 36th percentile weight is C.140.
Explanation:
To find the 36th percentile of the given weights, we first need to arrange the data in ascending order, which has already been done: 100, 115, 135, 140, 180, 197, 230. Next, we calculate the rank for the 36th percentile using the formula: Rank = (P/100) * (N + 1), where P is the percentile and N is the number of observations. In this case, P is 36 and N is 7. Substituting these values in gives us Rank = (36/100) * (7 + 1) = 2.88. We then round to the nearest whole number, which gives us a rank of 3. The weight at the 3rd rank is 135 pounds.
However, to avoid confusion between the value corresponding to the rank and the percentile, we also review the data around the 3rd position to see if we need to interpolate between values. Rank 3 corresponds exactly to the 135 pounds, but since the rank calculation resulted in 2.88, which is closer to 3 than to 2, we choose the weight at that position, which is 135 pounds. Therefore, the correct option for the 36th percentile is C.140.
In the weights of seven people, the 36th percentile is 135.
The following are the weights (in pounds) of seven people:
100, 115, 135, 140, 180, 197, 230
We have to determine the 36th percentile.
The term "percentile" describes how a score contrasts with other scores from the same collection. The percentage of values in a set of data scores that fall below a specific value is a typical way to represent percentile, despite the fact that there is no single meaning for this term.
The formula is:
= Percentile/100 × Total number of weights
There have total weights of 7 people and percentile is 36.
Now putting the value
= 36/100 × 7
= 2.52
= 3(approx)
To find the percentile value we count from left to right.
The 3rd number from left to right is 135.
So the 36th percentile is 135.
To learn more about percentile value link is here
brainly.com/question/1561673
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