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Give the percentage of measurements in a data set that are above and below each of the following percentiles:

a. 75th percentile

b. 50th percentile

c. 20th percentile

d. 84th percentile

Short Answer

Expert verified
  1. Above 25% and below 75%
  2. Above 50% and below 50%
  3. Above 80% and below 20%
  4. Above 16% and below 84%

Step by step solution

01

Providing the percentage of measurements that are above and below the 75th percentile.

The percentage of measurements that are below the 75thpercentile is75%.

The percentage of measurements that are above the 75th percentile is

100-75 = 25. In the form of a percentage, it is25%.

02

Providing the percentage of measurements that are above and below the 50th percentile.

The percentage of measurements that are below the 50th percentile is50%.

The percentage of measurements that are above the 50th percentile is

100-50 = 50. In percentage form, it is50%.

03

Providing the percentage of measurements that are above and below the 20th percentile.

The percentage of measurements that are below the 20th percentile is20%.

The percentage of measurements that are above the 20th percentile is

100-20 = 80. Hence, it is 80%.

04

Providing the percentage of measurements that are above and below the 84th percentile.

The percentage of measurements that are below the 84th percentile is84%.

The percentage of measurements that are above the 84th percentile is

100-84 = 16. Thus, it is16%.

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