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3 years ago

What is the five number summary for this data set?

Mathematics

1 answer:

MrRa [10]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

The median is the middle value of the data set in ascending order. If there is no exact middle then the median is the average of the values either side of the middle.

Given

3 8 14 19 22 29 33 37 43 49

↑ middle is between 22 and 29

median = $\frac{22+29}{2}$ = $\frac{51}{2}$ = 25.5

The upper quartile $Q_{3}$ is the middle value of the data to the right of the median.

29 33 37 43 49

↑

$Q_{3}$ = 37

The lower quartile $Q_{1}$ is the middle value of the data to the left of the median.

3 8 14 19 22

↑

$Q_{1}$ = 14

The min is the smallest value in the data set, that is 3

The max is the largest value in the data set, that is 49

The 5 number summary is

3, 14, 25.5, 37, 49

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The image of RST in the graph shown below is rotated 90°counterclockwise around the origin to form R'S'T'.

Aleonysh [2.5K]

Answer:

Please check the explanation.

Step-by-step explanation:

Let suppose we have a point P(x, y) if we rotate our point 90 degrees counterclockwise about the origin, the new coordinates of the image of the point P can be obtained by switching 'x' and 'y' and making 'y' negative.

In other words,

P(x, y) → P'(-y, x)

From the given triangle ΔRST,

The coordinates of the point S is:

S(10, 1)

According to the rule, if we have a point S(10, 1), after rotations of 90 degrees counterclockwise about the origin, the new coordinates of the image of the point S(10, 1) will be:

S(10, 1) → S'(-1, 10)

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3 years ago

A zoo has two male lions one sixth of the lions are male lions how many lions are there at the zoo

andrey2020 [161]

One sixth of the lions is the two male lions.
One sixth of x lions is 2 lions.

$\dfrac{1}{6}x = 2$

Multiply both sides by 6.

$x = 12$

Answer: There are 12 lions in the zoo.

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Hatshy [7]

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V125BC [204]

Answer:

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Leto [7]

Answer:

x = 5/2 , y = -7/2

Step-by-step explanation:

r's your solution

=> formula for finding midpoint =.( X1 + X2/)/2 , (Y1+Y2)/2

=> putting the value of in formula

=> x= 4+1/2 , y = -1-6/2

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3 years ago