Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27
, 18, 24.
1 answer:
Answer:
See attachment
Step-by-step explanation:
The given data set is 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
We sort the data in ascending order to get:
18,19,20,21,24,25,26,27,30,31,32,33,36,36,38
The median is the middle number after sorting , which 27
The minimum value is 18
The maximum value is 38
The first quartile is the median of 18,19,20,21,24,25,26
The third quartile is the median of 30,31,32,33,36,36,38
The interquartile range is 33-21=12
The boxplot is shown in the attachment
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Transversal line :
A transversal line is one that crosses two or more lines at different points.
Transversal Properties :
- Each pair of corresponding angles when a transversal cuts two parallel lines are equal in size.
- Each pair of alternate interior angles created by a transversal when two parallel lines are cut are equal.
- If two parallel lines are cut by a transversal, then each pair of interior angles on the same side of the transversal are supplementary, i.e. they add up to 180 degrees
Each pair of corresponding angles when a transversal intersects two parallel lines is equal. Thus,
∠1 = ∠6
∠4 = ∠8
∠2 = ∠5
∠3 = ∠7
Each alternate interior angle pair is equal if a transversal intersects two parallel lines.
∠4 = ∠5
∠3 = ∠6
Hence, proved..
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