All categories

3 years ago

Find the median and mean of the data. Which reflects the best measure of the center? 8,8,9,9,9,9,9,10,10,40

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

7 0

The mean is 12.1 and the median is 9.

To find the mean you add together all the values (8,8,9,9,9,9,9,10,10,40) and divide the sum (121) by the number of values there are (10). Thus making the mean 12.1.

To find the median, you sort the values numerically, and find the middle-most number. When doing so, you find that there are 2 numbers in the middle of this value set (since there are an even number of values). Since the 2 left-over values are 9, the median is 9.

I hope this helps!

You might be interested in

Alison has three times as many dimes as quarters in her purse. She has $9.35 altogether. How many coins of each type does she ha

azamat

<h3>Answers: 17 quarters and 51 dimes</h3>

========================================================

Work Shown:

x = number of quarters

3x = number of dimes

0.25x = value of just the quarters, in dollars

0.10(3x) = 0.30x = value of just the dimes, in dollars

0.25x+0.30x = 0.55x = total value in dollars

0.55x = 9.35

x = (9.35)/(0.55)

x = 17

Alison has <u>17 quarters</u> and 3x = 3*17 = <u>51 dimes</u>

17 quarters = 17*0.25 = $4.25

51 dimes = 51*0.10 = $5.10

17 quarters + 51 dimes = $4.25 + $5.10 = $9.35

The answers are confirmed.

5 0

1 year ago

Of the students attending a school party, 60% of the students are girls, and 40% of the students like to dance. After these stud

elena-s [515]

Answer:

252 students at the party like to dance

Step-by-step explanation:

Given:

60% of the students are girls

40% of the students like to dance

20 more boy students

Percentage of the girls in the party = 58%

To Find:

How many students now at the party like to dance=?

Solution:

Let the number of girls be g.

Let the number of total people originally be t.

We know that

$\frac{g}{t}=\frac{60}{100}$

$\frac{g}{t}=\frac{3}{5}$ ----------------------------------(1)

We also know that

$\frac{g}{t+20}=\frac{58}{100}$

$\frac{g}{t+20}=\frac{29}{50}$ -----------------------------(2)

We now have a system of equation from (1) and (2)

3t=5g

$g = \frac{3t}{5}$ ------------------------(3)

50g=29t+580------------------------(4)

Substituting 3 in 4, we get

$50(\frac{3t}{5})=29t+580$

$(\frac{150t}{5})=29t+580$

$30t =29t+580$

$30t -29t = 580$

t =589

So originally there was 580 students

In this 580 students 40% liked to dance

Then the number of students liked to dance =

=> $40\% \text{of} 580$

=> $\frac{40}{100} \times 580$

=> $0.4 \times 580$

=> 232

We also know that with these people, 20 boys joined, all of whom like to dance.

Now the number of students like to dance = 232+20 = 252 students

7 0

2 years ago

enter an internet value that could be used in each of the blanks below to make the polynomial factorable

NeX [460]

1. 4
2. 8

These are the only possible answers

7 0

2 years ago

Simplify negative square root of 72

STatiana [176]

Answer: -6√2

Explanation: You’ll have to find where the original product can be rooted. 36 & 2. 36 is a perfect square, so it becomes 6.

Then 6 is on the outside, while two is inside.
Don’t forget the negative.

5 0

1 year ago

Find the circumference of a circle that has an area of 452.16 square meters. (Use 3.1416 as the value of π.)

laila [671]

$\bf \textit{area of a circle}\\\\
A=\pi r^2\quad 
\begin{cases}
r=radius\\
-----\\
A=452.16
\end{cases}\implies 452.16=\pi r^2\implies \cfrac{452.16}{\pi }=r^2
\\\\\\
\boxed{\sqrt{\cfrac{452.16}{\pi }}=r}\\\\
-------------------------------\\\\
\textit{circumference of a circle}\\\\
C=2\pi r\qquad \qquad \implies C=2\pi \left( \boxed{\sqrt{\cfrac{452.16}{\pi }}} \right)$

so, is just that product, recall to use "<span>3.1416 as the value of π".</span>

7 0

3 years ago