In a nanoparticle synthesis experiment, a nanoparticle tracking analysis machine

Question

In a nanoparticle synthesis experiment, a nanoparticle tracking analysis machine measures the radius distribution of the synthesized nanoparticles in nm. A stem-and-leaf plot is generated to show this data. From a TEM image, you measure a single nanoparticle to be 4.5 nm. Using the information provided in the stem-and-leaf plot below, what is the approximate percentile rank of the particle's radius? Please give your answer to three decimal places. 01|1 02 | 2, 4, 5, 6, 7 03 | 3, 3, 4, 6, 6, 7, 8. 9, 9 04 | 3, 4, 6, 7, 7 05 | 2, 3, 3, 3, 4, 5, 5, 6, 6 06 | 1, 2, 3, 5, 07 | 2, 5

Explanation / Answer

Q2 = [(35 + 1)/2]th obs

= 18th obs = 4.6

4.5 lies close to 4.6 which is the median of the data. Therefore approximate percentile is 50%

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