Question

Math

Posted 3 months ago

```
The dot plot shows the lengths of the tails of 15 duck-billed platypi.
Describe the distribution of the lengths.
Shape: The distribution of lengths is
Center: The median of the lengths is $\square$ centimeters.
Spread: The range of the lengths is $\square$ centimeters.
```

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Answer from Sia

Posted 3 months ago

Solution by Steps

step 1

To describe the shape of the distribution, we look at the dot plot and observe where the data points are concentrated

step 2

The data points are concentrated around the 12 and 13-centimeter marks, indicating a central clustering

step 3

To find the center of the distribution, we calculate the median of the lengths

step 4

The median is the middle value when the data points are ordered from least to greatest

step 5

According to the asksia-ll calculator, the median of the given data set is $12$ centimeters

step 6

To determine the spread of the distribution, we calculate the range of the lengths

step 7

The range is the difference between the maximum and minimum values in the data set

step 8

According to the asksia-ll calculator, the range of the given data set is $4$ centimeters

[question 1] Answer

Shape: The distribution of lengths is centrally clustered around 12 and 13 centimeters.
Center: The median of the lengths is $12$ centimeters.
Spread: The range of the lengths is $4$ centimeters.

Key Concept

Describing a distribution involves discussing its shape, center, and spread.

Explanation

The shape is observed from the concentration of data points, the center is determined by the median, and the spread is calculated as the range of the data set.

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