The line plot illustrates the capacity of the kitchen sink in gallons, and it has a sample size is 21. The distribution is positively skewed, with an appropriate measure of center is 16 and an appropriate measure of spread is 2.5
<h3>The description of the data</h3>
The dataset on the line plot represents the capacity of the kitchen sink.
The capacities are measured in gallons
<h3>The number of data values</h3>
This is the number of dots on the line plot.
There are 21 dots on the plot
Hence, the number of data values is 21
<h3>The shape of the distribution</h3>
The shape of the given distribution is positively skewed.
This is so because there are more points on the left of the distribution
<h3>Appropriate measure of center</h3>
The median is the appropriate measure of center for a skewed distribution.
So, we simply calculate the median.
The median position is calculated using
Median = 0.5 * (n + 1) th
So, we have:
Median = 0.5 * (21 + 1) th
Median = 11th
The 11th data element is 16
Hence, the value of an appropriate measure of center is 16
<h3>Appropriate measure of spread</h3>
The IQR is the appropriate measure of spread for a skewed distribution.
The IQR is:
IQR = Q3 – Q1
Where:
Q3 = 0.75(n + 1)th and Q1 = 0.25(n + 1)th
This gives
Q3 = 0.75 * (21 + 1)th = 16.5
Q1 = 0.25(21 + 1)th = 5.5
The 16.5th element is 17.5, while the 5.5th element is 15
Recall that:
IQR = Q3 – Q1
So, we have:
IQR = 17.5 - 15
Evaluate
IQR = 2.5
Hence, the value of an appropriate measure of spread is 2.5
Read more about line plots at:
brainly.com/question/27246403
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