The 32 observations below are measurements of head length (in centimeters) of a sample of Australian and Indian crocodiles:

24.0, 24.0, 32.0, 32.3, 35.0, 35.0, 35.8, 37.5, 37.6, 37.6, 38.2, 38.3, 39.5, 40.0, 40.0, 45.9, 46.0, 48.0, 49.0, 50.7, 51.0, 52.0, 52.0, 52.0, 53.5, 56.0, 60.5, 61.0, 62.0, 64.0, 71.0, 83.0

Calculate the five-number summary of this data, determine any outliers, and construct a boxplot showing outliers (if any).

Question

23-02-2025
Mathematics

High School

We appreciate your visit to The 32 observations below are measurements of head length in centimeters of a sample of Australian and Indian crocodiles 24 0 24 0 32 0. 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 32 observations below are measurements of head length (in centimeters) of a sample of Australian and Indian crocodiles:

24.0, 24.0, 32.0, 32.3, 35.0, 35.0, 35.8, 37.5, 37.6, 37.6, 38.2, 38.3, 39.5, 40.0, 40.0, 45.9, 46.0, 48.0, 49.0, 50.7, 51.0, 52.0, 52.0, 52.0, 53.5, 56.0, 60.5, 61.0, 62.0, 64.0, 71.0, 83.0

Calculate the five-number summary of this data, determine any outliers, and construct a boxplot showing outliers (if any).

Answer :

Other Questions

Convert the pressure readings of a scuba diver's compressed air tank from

Pete and Sue, two reckless teenage drivers, are racing eastward along a

Which of the following equations could be used to solve the given

Point [tex]$M$[/tex] is between points [tex]$N$[/tex] and [tex]$O$[/tex] on [tex]$\overline{N O}$[/tex]. Find

Contextos Lección 3 Sopa de letras Familia

Select the correct answer. Which of these is the standard form of

A 15.8 kg block is dragged over a rough, horizontal surface by

Let $ R = \mathbb{Z}[\sqrt{-n}] $ where $ n $ is a

How many terms of the series $\sum \frac{2}{n^{1.1}}$ should be used to

Which postulate can be used to prove JLK and MKL are congruent

mmrizvi034 mmrizvi034 · Answer 1 · 2023-09-03T11:26:42-04:00

Final Answer:

The five-number summary of the data is as follows: Minimum = 24.0 cm, Q1 = 35.0 cm, Median = 46.0 cm, Q3 = 53.5 cm, Maximum = 83.0 cm. There are no outliers in the data.

Explanation:

The minimum value is the smallest observation in the data set, which is 24.0 cm. The first quartile (Q1) represents the value below which 25% of the data fall; in this case, it is 35.0 cm.

The median, or the second quartile, is the middle value of the data set, which is 46.0 cm. The third quartile (Q3) is the value below which 75% of the data fall; here, it is 53.5 cm. Finally, the maximum value is the largest observation, which is 83.0 cm.

Since there are no data points that fall below the lower bound (Q1 - 1.5 * IQR) or above the upper bound (Q3 + 1.5 * IQR), there are no outliers in the data. Therefore, all the observations in the data set fall within the "whiskers" of the boxplot.