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Here are the heights (in centimeters) of 50 randomly selected Canadian students who participated in Census At School in 2007–2008:

Make an appropriate graph to display these data. Describe the shape, center, and spread of the distribution. Are there any outliers?

Short Answer

Expert verified

Shape: symmetric and is not skewed.

Centre: 170cm

Spread: from 145.5 which is the smallest value to 191 which is the highest value.

Outliers: There are no outliers in the data

Step by step solution

01

Given information

Heights of 50 randomly selected Canadian students.

02

Concept

Statistical Measures are a descriptive-analytical technique that provides an overview of a data set's properties.

03

Calculation

Shape: the dot-apex plot's is at 170. It shows that the four students are all 170 cm tall. As a result, the Mode is 170cm. The majority of the students are between the heights of 160 and 180cm. The distribution is nearly symmetric and not skewed in any way.

The centre divides the observations into two equal sections, i.e. the median, such that about half of the observations take greater values and the other half take smaller values. The median height in this data is around 170cm(169.88cm)

Spread: The spread of the distribution indicates the degree of variability in the data. Giving the greatest and smallest values is one technique to describe the dispersion. The range of the given data is145.5 to 191, with 145.5 being the lowest and191 being the highest. Instead, we can calculate range by subtracting the least and greatest values. The range would be191-145.5=45.5cm in this case.

There are no outliers in the data, while there are several values, such as 143 and 150, that deviate from the overall pattern. They don't, however, stand out from the rest of the distribution.

Shape: symmetric and is not skewed.

Centre: 170cm

Spread: from 145.5 which is the smallest value to 191which is the highest value.

Outliers: There are no outliers in the data

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