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joja [24]
3 years ago
13

which of the following statements describes the difference between the range and the interquartile range? a. the range is a numb

er that quantifies the median of the data set, while the interquartile range quantifies the spread of the middle half of the data. b. the range is a number that quantifies the spread of the bottom half of the data set, while the interquartile range quantifies the spread of the top half of the data. c. the range is a number that quantifies the spread of an entire data set, while the interquartile range quantifies the spread of the middle half of the data.
Mathematics
2 answers:
vovikov84 [41]3 years ago
5 0

Answer:

The range is a number that quantifies the spread of an entire data set, while the interquartile range quantifies the spread of the middle half of the data.

Step-by-step explanation:

The interquartile range is the difference between the upper quartile and lower quartile.

The range of a data set only depends on the minimum and maximum values. The range lies between these values.

The answer is - The range is a number that quantifies the spread of an entire data set, while the interquartile range quantifies the spread of the middle half of the data.

gayaneshka [121]3 years ago
4 0
The answer is C) the range is a number that quantifies the spread of an entire data set, while the interquartile range quantifies the spread of the middle half of the data.
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Answer:

  • The sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is <u>translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis</u>.

Explanation:

By inspection (watching the figure), you can tell that to transform the triangle XY onto triangle X"Y"Z", you must slide the former 5 units to the left, 1 unit down, and, finally, reflect it across the x-axys.

You can check that analitically

Departing from the triangle: XYZ

  • <u>Translation 5 units to the left</u>: (x,y) → (x - 5, y)

  • Vertex X: (-6,2) → (-6 - 5, 2) = (-11,2)
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  • <u>Translation 1 unit down</u>: (x,y) → (x, y-1)

  • (-11,2) → (-11, 2 - 1) = (-11, 1)
  • (-9,7) → (-9, 7 - 1) = (-9, 6)
  • (-7, 2) → (-7, 2 - 1) = (-7, 1)

  • <u>Reflextion accross the x-axis</u>: (x,y) → (x, -y)

  • (-11, 1) → (-11, -1), which are the coordinates of vertex X"
  • (-9, 6) → (-9, -6), which are the coordinates of vertex Y""
  • (-7, 1) → (-7, -1), which are the coordinates of vertex Z"

Thus, in conclusion, it is proved that the sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.

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