High School

Find the percentile for the data value.

Data set: 118, 130, 122, 116, 124, 126, 116, 114, 121, 118, 122, 132, 114, 118, 120, 115
Data value: 124

a) 75th percentile
b) 80th percentile
c) 85th percentile
d) 90th percentile

Answer :

Final answer:

To find the percentile for the data value 124 in the dataset, arrange the data in ascending order, count the values below 124, and apply the percentile formula. The calculation shows that 124 is at the 75th percentile, option a is correct.

Explanation:

The student is asking to find the percentile for the data value 124 within a given dataset. To find the percentile of a data value, one must first arrange the data in ascending order and determine the number of data values that fall below the given data value. The formula for the percentile rank is:

Percentile Rank = (Number of Values Below the Data Value / Total Number of Values) × 100

Let's arrange the data and find the rank for 124.

  1. 114
  2. 114
  3. 115
  4. 116
  5. 116
  6. 118
  7. 118
  8. 118
  9. 120
  10. 121
  11. 122
  12. 122
  13. 124
  14. 126
  15. 130
  16. 132

Now, to find the percentile for the data value 124:

Count the number of data values less than 124. There are 12 values lower than 124. So, using the formula:

Percentile Rank = (12 / 16) × 100 = 75%

This means 124 is at the 75th percentile of the dataset. As such, the correct answer is (a) 75th percentile.

Other Questions