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Chapter 2: Q. 61 (page 136)

Describe the shape of this distribution.

Short Answer

Expert verified

The shape of distribution is left tailed. or skewed to the left.

Step by step solution

01

Content Introduction

The number of peaks in a distribution, as well as its symmetry, skewness, and uniformity, are used to describe its shape. In skewed distributions, more points are plotted on one side of the graph than the other.

02

Content Explanation

The shape in this picture is of histogram and we can define it by saying that a histogram is bell-shaped if it contains one single peak in the center of the distribution and resembles a "bell" curve.

This distribution have "left tail" or is pulled more on left side when we draw a line of symmetry, shown in the picture below.

Therefore, the shape of distribution is left tailed. or skewed to the left.

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Most popular questions from this chapter

Use the following information to answer the next nine exercises: The population parameters below describe the full-time equivalent number of students (FTES) each year at Lake Tahoe Community College from 1976鈥�1977 through 2004鈥�2005.

渭=1000FTESmedian=1014FTES蟽=474FTESfirstquartile=528.5FTESthirdquartile=1447.5FTESn=29years

A sample of 11 years is taken. About how many are expected to have a FTES of 1014 or above? Explain how you determined your answer.

Use the following information to answer the next three exercises: The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest:

16;17;19;20;20;21;23;24;25;25;25;26;26;27;27;27;28;29;30;32;33;33;34;35;37;39;40

Identify the mode

Describe the relationship between the mode and the median of this distribution.

Forty randomly selected students were asked the number of pairs of sneakers they owned. Let X= the number of pairs of sneakers owned. The results are as follows:

a. Find the sample meanx炉.

b. Find the sample standard deviation, s

c. Construct a histogram of the data.

d. Complete the columns of the chart.

e. Find the first quartile.

f. Find the median.

g. Find the third quartile.

h. Construct a box plot of the data.

i. What percent of the students owned at least five pairs?

j. Find the 40thpercentile.

k. Find the 90thpercentile.

l. Construct a line graph of the data.

m. Construct a stemplot of the data.

The University of California has two criteria used to set admission standards for freshmen to be admitted to a college in the UC system:

a. Students' GPAs and scores on standardized tests (SATs and ACTs) are entered into a formula that calculates an "admissions index" score. The admissions index score is used to set eligibility standards intended to meet the goal of admitting the top 12%of high school students in the state. In this context, what percentile does the top 12%represent?

b. Students whoseGPAs are at or above the 96th percentile of all students at their high school are eligible (called eligible in the local context), even if they are not in the top 12%of all students in the state. What percentage of students from each high school are "eligible in the local context"?
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