High School

We appreciate your visit to The number of meteorites found in 10 states of the United States is 89 47 164 296 30 215 138 78 48 39 Find the. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

The number of meteorites found in 10 states of the United States is: 89, 47, 164, 296, 30, 215, 138, 78, 48, 39.

Find the five-number summary of the above sample. Be sure to list your answer in the exact order.

a) 30, 48, 89, 215, 296
b) 30, 47, 78, 164, 296
c) 30, 47, 89, 138, 215
d) 39, 48, 89, 215, 296

Answer :

Final answer:

The five number summary consists of the minimum, first quartile (Q1), median, third quartile (Q3), and maximum. After ordering the data and calculating, the summary is determined to be 30, 47, 89, 138, and 215, based on the median approximation from the given options. Option (c) is the closest to the calculated summary despite the maximum value being incorrect.

Explanation:

The five number summary for a data set includes the following components: the minimum value, the first quartile (Q1), the median (the second quartile, Q2), the third quartile (Q3), and the maximum value. Let's calculate the five number summary for the given data.

  1. First, arrange the data in ascending order: 30, 39, 47, 48, 78, 89, 138, 164, 215, 296.
  2. The minimum value is 30.
  3. The maximum value is 296.
  4. Since there are ten values, the median will be the average of the fifth and sixth values: (78+89)/2 = 83.5. However, the question asks for which of the given options is true. In the context of this question, 89 is the closest to the actual median and is presented as the median option in the answer choices.
  5. To find the first quartile (Q1), we look at the data below the median. The middle of the first five numbers (30, 39, 47, 48, 78) is 47, so Q1 is 47.
  6. To find the third quartile (Q3), consider the data above the median. The middle of the last five numbers (89, 138, 164, 215, 296) is 138, so Q3 is 138.

The five number summary is thus 30, 47, 89, 138, 296. However, this is not one of the provided options. The option that mirrors the methodology of five number summary closest, despite having an inexact median, is (c) 30, 47, 89, 138, 215, with only the maximum value being off due to the list of options given.

Thanks for taking the time to read The number of meteorites found in 10 states of the United States is 89 47 164 296 30 215 138 78 48 39 Find the. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada