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3 years ago

Determine The mean,median,mode, and range for each data set A. {2,2,7,9,10}

Mathematics

2 answers:

Levart [38]3 years ago

6 0

Answer:

Step-by-step explanation:

Median:

2,2,7,9,10 - you have to always find the number on the middle. But if there is 2 numbers remaining, you have to add both of them and divide by 2. So the median here is: <u>7</u>.

Mode:

2,2,7,9,10 - to find the mode you need to see what number repeats itself more. So the mode here is: <u>2</u>.

Range:

2,2,7,9,10 - to find the range you need to put the numbers in order and subtract the smallest number from the highest number. So the range here is <u>10 - 2 = 8</u> .

Mean:

2,2,7,9,10 - to find the mean you need to add up all of the answers and then you need to divide that answer by how many numbers there are. So the mean here is: <u>2+2+7+9+10 = 30 </u>

<u>30 divided by 5 (how many numbers there are) = 6</u>

<u />

<u>sorry if i took long:)</u>

Zarrin [17]3 years ago

4 0

Answer:

Mean: 6, Median: 7, Mode: 2, Range: 8

Step-by-step explanation:

The mean is the average of the data set.

Add all the terms together:

$2+2+7+9+10=\\4+7+9+10=\\11+9+10=\\20+10=\\\boxed{30}$

Divide the sums by the number of terms:

There are 5 terms in the data set.

$30/5=6$

<h3>Median:</h3>

The median is the middle value of the data set.

The data set given already has the numbers in ascending order.

Seven appears to be in the middle of the set.

{2,2,<u>7</u>,9,10}

<u>The median is 7.</u>

The mode is the number that appears the most in a data set.

The number two appears twice in the data set, and all other numbers (7, 9, and 10) appear once.

<h3>Range:</h3>

The range is the difference between the largest data value in the set and the smallest data value in the set.

In the given set, 10 is the biggest and 2 is the smallest.

10 - 2 = 8

<u>The range is 8. </u>

<h3 />

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Pension = 12% of salary

nadya68 [22]

Answer:

Salary = $43,313.40

Step-by-step explanation:

Let his salary be x.

Now we're told that;

Pension = 12% of his salary = 0.12x

Health Insurance = 0.3% of salary = 0.003x

Disability Insurance = 0.4% of salary = 0.004x

Since his total contract with benefits is worth $48,814.20

This means that;

x + 0.12x + 0.003x + 0.004x = 48814.2

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x = $43,313.40

7 0

3 years ago

The vertices of ∆ABC are A(-2, 2), B(6, 2), and C(0, 8). The perimeter of ∆ABC is units is? What is the area?

11111nata11111 [884]

we have

$A(-2, 2),B(6, 2),C(0, 8)$

see the attached figure to better understand the problem

we know that

The perimeter of the triangle is equal to

$P=AB+BC+AC$

and

the area of the triangle is equal to

$A=\frac{1}{2}*base *heigth$

in this problem

$base=AB\\heigth=DC$

we know that

The distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Step $1$

<u>Find the distance AB</u>

$A(-2, 2),B(6, 2)$

Substitute the values in the formula

$d=\sqrt{(2-2)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$dAB=8\ units$

Step $2$

<u>Find the distance BC</u>

$B(6, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0-6)^{2}}$

$d=\sqrt{(6)^{2}+(-6)^{2}}$

$dBC=6\sqrt{2}\ units$

Step $3$

<u>Find the distance AC</u>

$A(-2, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0+2)^{2}}$

$d=\sqrt{(6)^{2}+(2)^{2}}$

$dAC=2\sqrt{10}\ units$

Step $4$

<u>Find the distance DC</u>

$D(0, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0-0)^{2}}$

$d=\sqrt{(6)^{2}+(0)^{2}}$

$dDC=6\ units$

Step $5$

<u>Find the perimeter of the triangle</u>

$P=AB+BC+AC$

substitute the values

$P=8\ units+6\sqrt{2}\ units+2\sqrt{10}\ units$

$P=22.81\ units$

therefore

The perimeter of the triangle is equal to $22.81\ units$

Step $6$

<u>Find the area of the triangle</u>

$A=\frac{1}{2}*base *heigth$

in this problem

$base=AB=8\ units\\heigth=DC=6\ units$

substitute the values

$A=\frac{1}{2}*8*6$

$A=24\ units^{2}$

therefore

the area of the triangle is $24\ units^{2}$

4 0

3 years ago

Read 2 more answers

Free points

elena-14-01-66 [18.8K]

Answer:

10932

2959

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Help needed! How do I solve this?<br>Excuse the answers that are already in there!

anastassius [24]

1) 108
2) 72
3) 36
4) 72
5) 72
6) 144
7) 72
8) 72
9) 108
10) 108
I hope this helped

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3 years ago

Write a subtraction that will give the same difference as 15-7

Georgia [21]

15 - 7 = 8 so there are many you can do like:
16 - 8 = 8
20 - 12 = 8
22 - 14 = 8
and so on, there are many.

8 0

3 years ago

Determine The mean,median,mode, and range for each data set A. {2,2,7,9,10}​

Determine The mean,median,mode, and range for each data set A. {2,2,7,9,10}