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algol [13]
3 years ago
5

What happens to the median, mode, and standard deviation when 3 is added to every value in a data set?

Mathematics
1 answer:
GrogVix [38]3 years ago
6 0
Adding a constant to each value in a data set does not change the distance between values so the standard deviation remains the same.
For example, consider the following numbers
2
,
3
,
4
,
4
,
5
,
6
,
8
,
10
for this set of data the standard deviation would be
s
=
√
∑
n
i=1
(
x
i
−
¯
x
)
2
n
−
1
s
=
√
(
2
−
5.25
)
2
+
(
3
−
5.25
)
2
+
...
+
(
10
−
5.25
)
2
8
−
1
s
=
2.65922
If we were to add 5 to each value in this data set, the new set of values would be:
7
,
8
,
9
,
9
,
10
,
11
,
13
,
15
s
=
√
(
7
−
10.25
)
2
+
(
8
−
10.25
)
2
+
...
+
(
15
−
10.25
)
2
8
−
1
s
=
2.65922
As you can see the s.d. remains the same unless you multiply every value by a constant.
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Which of the following table of values represents a proportional relationship?
Liula [17]

Answer

From My Understanding It Is The First One

Step-by-step explanation: Because It Goes From 1 on top which Adds 5 to the bottom

4 0
3 years ago
What is the answer to y=6x−8 y=−3x+10 as an ordered pair
kompoz [17]

Answer:

(2, 4)

Step-by-step explanation:

To find the solution, set the equations equal to each other, then solve for x:

6x - 8 = -3x + 10

9x - 8 = 10

9x = 18

x = 2

Now, find the y value by plugging in 2 as x into one of the equations, and solve for y:

y = 6x - 8

y = 6(2) - 8

y = 12 - 8

y = 4

So, the solution as an ordered pair is (2, 4)

4 0
2 years ago
(a^2-4)(9-b^2)+24ab
Sholpan [36]
<span> -a2b2 + 9a2 + 24ab + 4b2 - 36 </span><span>hope it helps

</span>
7 0
3 years ago
There are 3 people at a party. If each person must shake hands with every other person at the party exactly once, how many hands
Dima020 [189]
<h2>Answer:</h2>

The total number of handshakes that would happen between the three people are:

                                    3

<h2>Step-by-step explanation:</h2>

There are three people at a party.

Let they be denoted by A,B and C.

Now, the total number of handshakes that would occur will be denoted by:

      AB, AC and BC

where AB denotes that A and B shake hands.

AC denote that A and C shake hands.

and BC denote that B and C shake hands.

Hence, total number of handshakes are:

                           3

5 0
3 years ago
Subtract. Write your answer in simplest form.<br><br> 6 3/4 - 2 3/20<br><br> I need a mixed number
umka21 [38]

Answer:

4 3/5

Step-by-step explanation:

6 3/4-2 3/20=x

3/4=15/20

15/20-3/20=12/20=6/10=3/5

6-3=3+3/5=4 3/5

6 0
2 years ago
Read 2 more answers
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