What is the interquartile range of the set of data represented by the following box-and-whisker plot?

Mathematics

2 answers:

Brilliant_brown [7]2 years ago

7 0

10 because it is situated between the 1st and 3rd quartiles of distribution.

Andrews [41]2 years ago

4 0

8 because the iqr(inter quartile range) refers to the distance between the smallest and the largest numbers in the set

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Does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?

Lostsunrise [7]

Given equation of the Circle is ,

$\sf\implies x^2 + y^2 = 25$

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

$\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2$

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

$\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }$