1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.
You might be interested in
Question 1: There are 14 apples, 28 cherries, and 9 oranges. What is the
Murrr4er [49]
B is the answer hopefully this help
5 0
3 years ago
Read 2 more answers
What is the coefficient of the variable in the expression 4 − 3x − 7 + 6?
GaryK [48]
A coefficient is the number directly in front of the variable, aka the number being multiplied with the variable. In this case it's -3.
5 0
3 years ago
Read 2 more answers
Thats my question down there mates
Law Incorporation [45]

Answer:

x = 9

Step-by-step explanation:

A line segment parallel to a side of a triangle and intersecting the other 2 sides divides the 2 sides in proportion, that is

\frac{9}{72} = \frac{1}{8} = \frac{3x-20}{56} ( cross-  multiply )

8(3x - 20) = 56

24x - 160 = 56 ( add 160 to both sides )

24x = 216 ( divide both sides by 24 )

x = 9

7 0
3 years ago
Read 2 more answers
Identify the numerical coefficient of the term -13x^2y
nalin [4]

Answer:

2y

Step-by-step explanation:

5 0
3 years ago
You exercised 24 hours each month for a year. How many hours did you exercise by the end of the year? You may be able to do the
dedylja [7]

Answer:

288 hours.

Step-by-step explanation:

You exercise 24 hours in 1 month.

There are 12 months in one year.

24 * 12 = 288

Therefore, you exercised 288 hours in one year.

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the most accurate name for this polygon? A. pentagon B. regular pentagon C. convex pentagon D. concave pentagon
    5·1 answer
  • Simplify: x^2-4x+4/x^2-5x+6
    6·1 answer
  • One is the additive identify true or false
    6·1 answer
  • What expression is not equivalent to 0
    11·2 answers
  • The class president won the election by a vote of 3 to 2. Her opponent received 356 votes. How many votes did the winner receive
    11·2 answers
  • I need help with 19 and 23.​
    14·1 answer
  • ASAP,What are the possible solutions to a system of equations and What does it mean for a system of equations to have one Soluti
    6·1 answer
  • Anybody know both questions
    12·2 answers
  • If the perimeter of the square below is 12 units. What is the value of x?<br><br><br> Pls help
    5·1 answer
  • What is the function equation and unit rate for this graph?? Help me out! Please!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!