Percentiles. In Exercises 17–20, use the following duration times (seconds) of 24 eruptions of the Old Faithful geyser in Yellowstone National Park. The duration times are sorted from lowest to highest. Find the percentile corresponding to the given time.

213 sec

Problem 17BSC

Answer:

Step1 of 3:

We have the following duration times (seconds) of 24 eruptions of the Old Faithful geyser in Yellowstone National Park. The duration times are sorted from lowest to highest.

x |
110 |
120 |
178 |
213 |
234 |
234 |
235 |
237 |
240 |
243 |
245 |
245 |

250 |
250 |
251 |
252 |
254 |
255 |
255 |
259 |
260 |
266 |
269 |
273 |

Step2 of 3:

We need to Find the percentile corresponding to the given time. 213 sec.

Step3 of 3:

The given data in ascending order

x |
110 |
120 |
178 |
213 |
234 |
234 |
235 |
237 |
240 |
243 |
245 |
245 |

250 |
250 |
251 |
252 |
254 |
255 |
255 |
259 |
260 |
266 |
269 |
273 |

The percentile for 213 sec. is

=

= 12.5

13

Thus the percentile is the 13th percentile.