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Chapter 2: Q.108 (page 154)

Santa Clara County, CA, has approximately 27,873Japanese-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?

Short Answer

Expert verified

(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 35is 49.7%.

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

Step by step solution

01

(a) Histogram : 

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

02

(a) Explanation : 

CA was approximately 27873Japanese-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.

03

(b) Percentage : 

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

04

(b) Explanation : 

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

The community percentage who are under the age35=(18.9+8+22.8)%=49.7%.

05

(c) Minimum : 

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

06

(c) Explanation :

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

The box plots are,

The data summary is,

min =0

max =100

localid="1647941501959" Q1=24Median,Q2=34Q3=53IQR=29

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

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