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Sagot :
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
The description of the data
The dataset on the line plot represents the capacity of the kitchen sink.
The capacities are measured in gallons
The number of data values
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
The shape of the distribution
The shape of the given distribution is positively skewed.
This is so because there are more points on the left of the distribution
Appropriate measure of center
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
Appropriate measure of spread
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:
https://brainly.com/question/27246403
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