Question

Drag each tile to the correct box. A data set that consists of many values can be summarized using the five-number summary. Arrange these five values in order from least to greatest.

Answer 1

Answer:

Minimum < Q1 < Median < Q3< Maximum

Step-by-step explanation:

Given

Minimum, Median, Maximum, Q3 and Q1

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Required

Order from least to greatest

In a dataset, the range is:

$Range = Maximum - Minimum$

This implies that, the minimum is the least and the maximum is the highest of the dataset

So, we have:

Minimum <         <              <           < Maximum

The median is the middle item; So, the above becomes

Minimum <         < Median <           < Maximum

In a dataset, the IQR is:

$IQR = Q_3 - Q_1$

This implies that:

$Q_3 > Q_1$

So, we have:

Minimum < Q1 < Median < Q3< Maximum