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
Rama09 [41]
3 years ago
7

Calculate the sample standard deviation of data from Question 1 76,45,64,80,92

Mathematics
1 answer:
mash [69]3 years ago
6 0

Answer:

S.D = 15.98

Step-by-step explanation:

Given: 76,45,64,80,92

Required: Determine the standard deviation

We start by calculating the mean

Mean = \frac {\sum x}{n}

Where x-> 76,45,64,80,92 and n = 5

Mean = \frac {76+45+64+80+92}{5}

Mean = \frac{357}{5}

Mean = 71.4

Subtract Mean (71.4) from each of the given data

76 - 71.4 = 4.6\\45 - 71.4 = -26.5\\64 - 71.4 = -7.4\\80 - 71.4 = 8.6\\92 - 71.4 = 20.6

Determine the absolute value of the above result

|4.6| = 4.6\\|-26.5| = 26.5\\|-7.4| = 7.4\\|8.6| = 8.6\\|20.6| = 20.6

Square Individual Result

4.6^2 = 21.16 \\26.5^2 = 702.25\\7.4^2 = 54.76\\8.6^2 = 73.96\\20.6^2 = 424.36

Calculate the mean of the above result to give the variance

Mean = \frac {\sum x}{n}

Mean = \frac{21.16 + 702.25 + 54.76 + 73.96 + 424.36}{5}\\Mean = \frac{1276.49}{5}\\Mean = 255.298

Hence, Variance = 255.298

Standard Deviation is calculated by \sqrt{Var}

SD = \sqrt{255.298}

S.D = 15.9780474402

S.D = 15.98 (Approximated)

You might be interested in
X + 1 / 2 - 1 = 1 / 4​
Nimfa-mama [501]

First, make the mixed fraction into improper fraction,

x−12=54

Add 1/2 on both sides

x−12+12=54+12

Find LCM,

LCM is 4

x=54+1⋅22⋅2

x=54+24

Add

x=74

Or,

x=134

Or,

x=1.75

X=1.75 IS YOUR ANSWER!

Hope this helps!

Have a great day: )

- Hailey:)

(Nothing copied or pasted!!!!!)

7 0
3 years ago
Write a function to represent each situation: (will give brainlest)
tresset_1 [31]

Answer:

Step-by-step explanation:

m = 500 - 10d

4 0
3 years ago
Read 2 more answers
2. Which is the graph of the inverse of the function represented by the equation
aliya0001 [1]

Answer:

y= 3×3×3

y=9+6

y=(15)

semoga membantu

Step-by-step explanation:

i'm sorry ya kalo jawaban nya salah

5 0
3 years ago
Which Line has The Greater Slope<br> 1<br> 2<br> 3<br> 4
mote1985 [20]
The answer to this question is line 1
7 0
2 years ago
What would go in the blank?
luda_lava [24]

Answer:44

Step-by-step explanation:

Because all angles are the same on a triangle

8 0
3 years ago
Read 2 more answers
Other questions:
  • I need to know how long is each side of the infield. Btw in the picture on the bottom right it says A=81in squared
    12·1 answer
  • If the masses of the two objects stay the same, what must be done to reduce to gravitational force between them?
    9·1 answer
  • 7y+16=2x+4x-30<br><br> Help me pls i am dumb
    14·1 answer
  • What is the equations for f(x)?
    9·1 answer
  • What is the slope of a line perpendicular to y=-x?
    8·2 answers
  • B) After allowing 16 % discount on the marked price of an article and levying 13 % value
    13·1 answer
  • Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are
    10·1 answer
  • For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 80 N acts on
    6·1 answer
  • Please help!
    12·2 answers
  • What is the next number in the series 167, 118, 82
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!