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Chapter 2: Q.14 (page 88)

Sketch the curve corresponding to each of the following specific distribution shapes.

a. Bell-shaped

b. Triangular

c. Reverse J shaped

d. Uniform

Short Answer

Expert verified

(a)

(b)

(c)

(d)

Step by step solution

01

Part (a) Step 1: Given information

The given distribution shape is bell-shaped.

02

Part (a) Step 2: Explanation

The number of peaks in distribution, as well as its symmetry, skewness, and uniformity, are used to describe its shape.

The bell shape graph is provided.

03

Part (b) Step 1: Given information

The given distribution shape is triangular.

04

Part (b) Step 2: Explanation

The number of peaks in distribution, as well as its symmetry, skewness, and uniformity, are used to describe its shape.

The triangular graph is as follows:

05

Part (c) Step 1: Given information

The given distribution shape is reverse J shaped.

06

Part (c) Step 2: Explanation

The number of peaks in distribution, as well as its symmetry, skewness, and uniformity, are used to describe its shape.

The figure depicts the reverse J shaped graph (3)

07

Part (d) Step 1: Given information

The given distribution shape is uniform.

08

Part (d) step 2: Explanation

The number of peaks in distribution, as well as its symmetry, skewness, and uniformity, are used to describe its shape.

The uniform graph is as follows:

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Most popular questions from this chapter

A variable of a population has a left-skewed distribution.

a. If a large simple random sample is taken from the population, roughly what shape will the distribution of the sample have? Explain your answer.

b. If two simple random samples are taken from the population, would you expect the two sample distributions to have identical shapes? Explain your answer.

c. If two simple random samples are taken from the population, would you expect the two sample distributions to have similar shapes? If so, what shape would that be? Explain your answers.

Sickle Cell Disease. A study published by E. Anionwu et al. in the British Medical Journal (Vol, 282, pp .283-286) measured the steady-state hemoglobin levels of patients with three different types of sickle cell disease. Following is a stem-and-leaf diagram of the data.

We used slightly different methods for determining the "middle" of a class with limit grouping and cut point grouping. Identify the methods and the corresponding terminologies.

Bachelor"s Completion. As reported by the U.S. Census bureau in the document Edwrational Arraignment in the United States, the percentage of adults in each state and the District of Columbia who has completed a bachelor's degree is provided on the WeissStats site.

a. use the technology of your choice to identify the modality and symmetry (or non-symmetry) of the distribution of the data set.

b. if unimodal, classify the distribution as symmetric right-skewed. or left-skewed.

Construct a stem-and-leaf diagram for the data, using one line per stem.
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