Question

activity - interpreting and comparing
activity
drag and drop the most appropriate answer into the box.
mean = median = mode
iqr
mean deviation
q3 -
spread
symmetry

Explanation:

Analyze the first relationship

Using the Symmetric Distribution, Arithmetic Mean, Median of Data, and Mode of Data knowledge points
In a perfectly symmetric unimodal distribution, the mean, median, and mode are all equal to each other at the center of the distribution. Therefore, this equality represents Symmetry.

Analyze the second relationship

The Interquartile Range (IQR) is calculated as \(Q_3 - Q_1\). It measures the range of the middle 50% of the data, which represents the Spread of the data. Looking at the draggable cards, we have cards labeled "Q3 - Q1" and "Spread". Since IQR is defined mathematically as \(Q_3 - Q_1\), we match IQR to Q3 - Q1.

Analyze the third relationship

Mean deviation (also known as mean absolute deviation) measures how far, on average, all data points are from the mean. This is a statistical measure used to describe the Spread (or variability) of a dataset. Therefore, Mean deviation matches Spread.

Answer:

Question 1

• Mean = median = Mode \(

ightarrow\) Symmetry

• IQR \(

ightarrow\) Q3 - Q1

• Mean deviation \(

ightarrow\) Spread