Answer :
The 124 in dataset corresponds to the 75th percentile, indicating that 75% of the data values are less than or equal to 124 in given dataset.
To find the percentile for a given data value in a dataset, you can follow these steps:
1) Sort the Data Set:
Arrange the data in ascending order: 114, 114, 115, 116, 116, 118, 118, 118, 120, 121, 122, 122, 124, 126, 130, 132.
2) Calculate the Rank of the Data Value:
Find the position of the data value in the sorted dataset. In this case, 124 appears at the 12th position.
3) Calculate the Percentile Rank:
Use the formula:
Percentile Rank
=(Rank of the Data Value/Total Number of Data Points)×100
Percentile Rank=(12/16)×100=75%
4) Determine the Percentile:
If the percentile rank falls exactly on a data point, that is the percentile. Otherwise, interpolate between the closest ranks.
In this case, 75th percentile is data value at 12th position, is 124.
