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
Genrish500 [490]
3 years ago
12

Compute the standard deviation of the following set of data to the nearest whole number: 10, 15, 15, 20, 20

Mathematics
1 answer:
Effectus [21]3 years ago
8 0

Answer:

<u>For the given set of numbers, the standard deviation is 4 (Rounding to the nearest whole number).</u>

Step-by-step explanation:

1. The first step for finding the standard deviation is to find the mean of the set of numbers.

Mean = ( 10 + 15 + 15 + 20 +20)/5

Mean = 80/5 = 16

<u>Mean = 16</u>

2. The second step is to find the variance.

Let's recall that the variance is the sum of all the squared differences of each element of the set minus the mean over the number of terms less one, if we want to be strict.

Variance = [6² + 1² + 1² + (-4)² + (-4)²]/4

Variance = [36 + 1 + 1 + 16  + 16]/4

Variance = 70/4

<u>Variance = 17.5</u>

<u>3. </u>Now we'r ready to calculate the standard deviation.

Standard deviation = √ Variance

Standard deviation = √ 17.5

Standard deviation = 4.18

<u>Standard deviation = 4 (Rounding to the nearest whole number)</u>

You might be interested in
The sum of a number x and 5 equals 14
pav-90 [236]

Answer:

x=9

Step-by-step explanation:

Since x+5=14, then you would subtract 5 from 14. 14-5=9. So that means x equals 9.

3 0
3 years ago
Read 2 more answers
A sandbox has a perimeter of 21 1/2 feet. If the length is 5 1/4 feet, what is the area of the sand box?
LiRa [457]
The perimeter of a rectangle is twice the sum of length and width, so the sum of length and width is half the perimeter, 10 3/4 ft.

The width will be the difference between this and the length, hence 5 1/2 ft.

The area is the product of length and width.
  A = length×width
  A = (5.25 ft)×(5.5 ft) = 28.875 ft²

The area of the sandbox is 28 7/8 ft².
4 0
3 years ago
What is the answer for 3a
n200080 [17]
24/40 = T/30
40t= 24•(30)
T= 18
Hope this helps. :)
8 0
3 years ago
Thanks for the help
Brrunno [24]
The answer is B.

In the question it says "the intercept of 6" which means the equation has to have +6 in the answer, and there is only one answer choice containing that.
4 0
3 years ago
Solve the indicated variable 2(3n+4)=5n+8
Svetlanka [38]
N=0 is the answer for this problem
6 0
3 years ago
Other questions:
  • 2.25/295 = 4.85/x<br> solve and show work
    5·1 answer
  • Houston Elementary School is selecting students to be in the winter festival show. There are 4 roles left but there are 12 stude
    9·2 answers
  • Which choice is equivalent to the fraction below? 1/4
    15·1 answer
  • Which expression is equivalent to -
    6·1 answer
  • Your company manufactures hot water heaters. The life spans of your product are known to be normally distributed with a mean of
    13·1 answer
  • I really don’t understand this question, please help.
    7·2 answers
  • Solve for x plezzzzzz
    9·1 answer
  • Reflect (8,9) across the x-axis. Then reflect the result across the y-axis. What are the coordinates of the final point?​
    8·1 answer
  • Directions: Divide the array in 2 smaller facts to help you fill in the
    11·1 answer
  • The starting salary for a particular job is naira 1.2 million per annum the salary increases each year by naira 75000 to a maxim
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!