The value of the median, lower and upper quartile
- Median = 21.5
- lower quartile = 12
- upper quartile = 29
<h3>What is the five-number summary for this data set?</h3>
The minimum value = 10
The maximum value = 38
The median is the value that is found in the center of the data when it is ordered from lowest to highest. In the event that there is no value that precisely corresponds to the center, the value will be determined by taking the average of the values that are located on each side of the middle.
10 11 12 15 19 24 27 29 33 38
Median = 21.5
The intermediate value of the data that is located to the left of the median is known as the lower quartile.
10 11 12 15 19
lower quartile = 12
The intermediate value of the data that is located to the right of the median is known as the upper quartile.
24 27 29 33 38
upper quartile = 29
In conclusion, the 5 number summary is 10, 12, 21.5, 29, 38 → A
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In math, an isometry is a congruent transformation in which the distance (or length) and the angle is preserved or remains the same even after the transformation.
The transformation can be translation, rotation, reflection, etc.
Let us not use this definition of isometry to answer our question, one at a time.
(I) In here, as we can see the distances 10 and 5 and the angle 43 degrees has been preserved. So, <u>this is an isometry.</u>
(II) In here, distances have been halved, so this is<u> not an isometry</u>, even though the angles have been preserved.
(III) In here, the corresponding distances and the angles have been preserved. So, <u>this is an isometry.</u>
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Answer:
-51.4
Step-by-step explanation:
