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The figure below gives a boxplot showing the literacy rate of the countries of t

ID: 2947829 • Letter: T

Question

The figure below gives a boxplot showing the literacy rate of the countries of the world.1

(a) Describe the shape of the distribution.

Skewed to the right

Approximately symmetric

Skewed to the left

(b) The middle half of all literacy rates are between approximately what two values?

Round your answers to the nearest integer.


The middle half of all literacy rates are between ________% and______________ % .

(c) Approximate the five-number summary from the boxplot.

Round your answers to the nearest integer.


The five number summary is

(d) Some countries did not have data on literacy rate available from the World Bank. Do you suspect the true median is higher or lower than that shown on the boxplot from the available data?

Lower

Higher

? ????? 20 30 40 50 60 70 80 90 100

Explanation / Answer

(a) Describe the shape of the distribution.

Skewed to the left

(b) The middle half of all literacy rates are between approximately what two values?

The middle half of all literacy rates are between 73% to 97%

These are the values of Q1 and Q3

The five number summary is

minimum, first quartile, median, third quartile, and maximum.

Minimum = 38

Q1 = 73

Median = 92

Q3 = 97%

Maximum = 100

(d) Some countries did not have data on literacy rate available from the World Bank. Do you suspect the true median is higher or lower than that shown on the boxplot from the available data?

True median is lower than that shown on the boxplot data.

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