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What is the third Quartile Of the following distribution?. 10, 25, 18, 31, 16, 27, 5, 13, 32, 24, 15, 21 , 18 , 18, 24, 4, 8, 11

ladessa [460]

Answer: The third quartile of the distribution is 23.

Step-by-step explanation:

First we write the data in ascending order:

4,5,8,10, 11,11, 13,15,16, 18, 18, 18, 21, 23, 24, 24, 25, 27, 31, 32

Since there are 20 terms:

First half is for First Quartile :

4,5,8,10, 11,11, 13,15,16, 18

Second half is for third Quartile:

18, 18, 21, 23, 24, 24, 25, 27, 31, 32.

So, Value of third quartile would be

$Q_3=\dfrac{5^{th}+6^{th}}{2}\\\\Q_3=\dfarc{24+24}{2}\\\\Q_3=\dfrac{48}{2}\\\\Q_3=24$

Hence, the third quartile of the distribution is 23.

6 0

3 years ago

Read 2 more answers

Help plssss i give brainliest

drek231 [11]

Answer:

(7, - 2 )

Step-by-step explanation:

Given the 2 equations

x = - 3y + 1 → (1)

- 3x - 3y = - 15 → (2)

Substitute x = - 3y + 1 into (2)

- 3(- 3y + 1) - 3y = - 15 ← distribute and simplify left side

9y - 3 - 3y = - 15

6y - 3 = - 15 ( add 3 to both sides )

6y = - 12 ( divide both sides by 6 )

y = - 2

Substitute y = - 2 into (1) for corresponding value of x

x = - 3(- 2) + 1 = 6 + 1 = 7

solution is (7, - 2 )

6 0

3 years ago

Cab companies often charge a flat fee for picking someone up and then charge an additional fee per mile driven.

Dahasolnce [82]

1a.) y=0.5x+2
1b.) The 0.5x is the slope. It represents the amount of extra money you are paying (in addition to the automatic $2) per mile. The y-intercept is 2. That represents the amount you automatically pay for that company.

2.a) I forgot how to do point-slope form, but for 2b., the slope is representing the same thing as in 1a. The slope is .65 and it is representing the amount of money you pay (in addition to the automatic $1.75) per mile.

To find the answers to the table question, use the slope intercept formula, y=.65x+1.75 Plug the numbers they are asking about in for x.

Example: Plugging in 3 we get y=(.65)(3)+1.75 which will equal 3.7 so the amount of money you pay after driving for 3 miles is $3.70.
(:

8 0

3 years ago

The original price for a jacket was 124.95. It is on sale for 20% off. Witch of the following gives the best estimate of the sav

d1i1m1o1n [39]

20% of 124.95 is close to $125 so that is equal of 12.50 of 10% so multiply by 2 which is $25.00 so the estimate discount of the jacket will be $25.00

7 0

3 years ago

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(a^-3/b^2)^4 equivalent expression

Evgen [1.6K]

Given data:

The given expression is (a^-3/b^2)^4.

The given expression can be written as,

$\begin{gathered} (\frac{a^{-3}}{b^2})^4=(\frac{1}{a^3b^2})^4 \\ =\frac{1}{a^{12}b^8} \end{gathered}$

Thus, the given expression cann be written as 1/a^12 b^8)

6 0

1 year ago