<h2>
Answer:</h2><h3>Part 1</h3>
<u>Range = 1.8
</u>
<u>
Median = 6.3
</u>
<u>
First Quartile = 6.3
</u>
<u>
Third Quartile = 6.8
</u>
<u>
Interquartile Range = 0.5</u>
<h3>Part 2</h3>
<u>Range = 32
</u>
<u>
Median = 17.5
</u>
<u>
First Quartile = 15
</u>
<u>
Third Quartile = 19
</u>
<u>
Interquartile Range = 4</u>
<h2>
Step-by-step explanation:</h2><h3>Part 1 data set</h3>
To find the above quantities we need to arrange the data in ascending form which will become
4.9, 5.8, 6.1, 6.2, 6.3, 6.3, 6.4, 6.6, 6.7, 6.7
<h3>Range</h3>
In order to find the range of the data set, we subtract the smaller value from the bigger value
Range = 6.7 - 4.9
Range = 1.8
<h3>Median</h3>
In order to find the Median we need to get the middle number of the range.
So we get their average because we have two.
Median = 6.3 + 6.3 /2
Median = 6.3
<h3>1st Quartile</h3>
In order to get the first quartile, we take the median of the lower value of the data set.
4.9, 5.8, 6.1, 6.2, 6.3
The median of the first quartile is 6.1.
<h3>3rd Quartile</h3>
In order to get the 3rd quartile, we take the median of the upper value of the data set.
6.3, 6.4, 6.6, 6.7, 6.7
The median of the 3rd quartile is 6.6
<h3>Interquartile Range</h3>
In order to get the interquartile range, we need to subtract the median of the third quartile to the median of the first quartile.
So
Interquartile Range = 6.6 - 6.1
Interquartile Range = 0.5
<h3>Part 2</h3>
To find the above quantities we need to arrange the data in ascending form which will become
4, 9, 15, 16, 17, 18, 18, 19, 19, 36
<h3>Range</h3>
In order to find the range of the data set, we subtract the smaller value from the bigger value
Range = 36 - 4
Range = 32
<h3>Median</h3>
In order to find the Median we need to get the middle number of the range.
So we get their average because we have two.
Median = 17 + 18 /2
Median = 17.5
<h3>1st Quartile</h3>
In order to get the first quartile, we take the median of the lower value of the data set.
4, 9, 15, 16, 17,
The median of the first quartile is 15.
<h3>3rd Quartile</h3>
In order to get the 3rd quartile, we take the median of the upper value of the data set.
18, 18, 19, 19, 36
The median of the third quartile is 19.
<h3>Interquartile Range</h3>
In order to get the interquartile range, we need to subtract the median of the third quartile to the median of the first quartile.
So
Interquartile Range = 19 - 15
Interquartile Range = 4