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Q.108

Expert-verifiedFound in: Page 154

Book edition
OER 2018

Author(s)
Barbara Illowsky, Susan Dean

Pages
902 pages

ISBN
9781938168208

Santa Clara County, CA, has approximately $27,873$ Japanese-Americans. Their ages are as follows:

a. Construct a histogram of the Japanese-American community in Santa Clara County, CA. The bars will not be the

same width for this example. Why not? What impact does this have on the reliability of the graph?

b. What percentage of the community is under age $35$?

c. Which box plot most resembles the information above?

(a)

As the histogram depicts continuous data, the bars will not be the same width in this example.

Hence, the percentage in any group cannot have zero.

The percent in the $65+$group is not a perfect group as it has no upper limit.

So, the graph is not reliable with data given.

(b) The community percentage who are under the age $35$ is $49.7\%$.

(c) The boxplot (a) resembles the given information.

A histogram is a continuous series with a rectangular bar diagram in which each rectangular bar represents a class interval with frequency.

CA was approximately $27873$ Japanese-Americans in Santa Clara Country. Their ages are,

As the histogram depicts continuous data, the bars will not be the same width in this example.

Hence, the percentage in any group cannot have zero.

The percent in the $65+$ group is not a perfect group as it has no upper limit.

So, the graph is not reliable with data given.

A percentage is a quantity or ratio represented as a fraction of one hundred.

CA was approximately $27873$Japanese-Americans in Santa Clara Country. Their ages are,

The community percentage who are under the age $35=(18.9+8+22.8)\%=49.7\%$.

The term "minimum" refers to the smallest amount or degree of anything.

CA was approximately $27873$Japanese-Americans in Santa Clara Country. Their ages are,

The box plots are,

The data summary is,

min = $0$

max = $100$

localid="1647941501959" ${Q}_{1}=24\phantom{\rule{0ex}{0ex}}Median,{Q}_{2}=34\phantom{\rule{0ex}{0ex}}{Q}_{3}=53\phantom{\rule{0ex}{0ex}}IQR=29$

According to the summary, the most resembles boxplot is (a).

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