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
pantera1 [17]
1 year ago
7

find the mean the median the mode range and standard invitation of each data set that is obtained after adding the given content

to each value (number 1)

Mathematics
1 answer:
timofeeve [1]1 year ago
3 0

Answers:

Mean = 43.7

Median = 44.5

Mode = doesn't exist

Standard deviation = 4.78

Explanation:

First, we need to add the constant to each value, so the new data is:

33 + 11 = 44

38 + 11 = 49

29 + 11 = 40

35 + 11 = 46

27 + 11 = 38

34 + 11 = 45

36 + 11 = 47

28 + 11 = 39

41 + 11 = 52

26 + 11 = 37

Now, we can organize the data from least to greatest as:

37 38 39 40 44 45 46 47 49 52

Then, the mean is the sum of all the numbers divided by 10, because there are 10 values in the data. So, the mean is:

\begin{gathered} \operatorname{mean}=\frac{37+38+39+40+44+45+46+47+49+52}{10} \\ \operatorname{mean}=43.7 \end{gathered}

The median is the value that is located in the middle position of the organized data. Since there are 10 values, the values in the middle are the numbers 44 and 45, so the median can be calculated as:

\operatorname{median}=\frac{44+45}{2}=44.5

The mode is the value that appears more times in the data. Since all the values appear just one time, the mode doesn't exist.

To calculate the standard deviation, we will calculate first the variance.

The variance is the sum of the squared difference between each value and the mean, and then we divided by the number of values. So, the variance is equal to:

\begin{gathered} (37-43.7)^2+(38-43.7)^2+(39-43.7)^2+(40-43.7)^2+ \\ (44-43.7)^2+(45-43.7)^2+(46-43.7)^2+(47-43.7)^2+ \\ (49-43.7)^2+(52-43.7)^2=228.1 \end{gathered}\text{Variance}=\frac{228.1}{10}=22.81

Finally, the standard deviation is the square root of the variance, so the standard deviation is:

\text{standard deviation =}\sqrt[]{22.81}=4.78

You might be interested in
Use the drop-down menu to complete each statement. The amount of money you earn by working is your . The percentage of people ac
Galina-37 [17]

The correct answers are:

- Wage/salary;

- Active job seekers;

The amount of money you earn by working is your wage or salary. The difference being that the wage represents the money you get paid on hourly, weekly, or monthly basis, while the salary is what you earn in year. The wages/salaries vary a lot, some being very high, some being modest, some very high, depending on the type of job, type of economy, as well as the qualifications of the worker.

The percentage of people that are actively looking for job is called active job seekers. The active job seekers can be people that are unemployed, but also people that re employed but want to work something or somewhere else. While some people struggle to find jobs and would accept almost anything, other people want to constantly progress, thus they are not satisfying with a job where they do not progress, so they seek for new challenges and opportunities.

7 0
2 years ago
Read 2 more answers
80% is what fraction of the whole quantity?
USPshnik [31]
The answer is 80/100
8 0
3 years ago
Fine the equation, in standard form, of the line passing through the points (3,-4) and (5,1)
Talja [164]

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (3, -4) and (5, 1). Substitute:

m=\dfrac{1-(-4)}{5-3}=\dfrac{5}{2}\\\\y-(-4)=\dfrac{5}{2}(x-3)

The standard form: Ax+By=C

y+4=\dfrac{5}{2}(x-3)           <em>multiply both sides by 2</em>

2y+8=5(x+3)           <em>use distributive property</em>

2y+8=5x+15            <em>subtract 2y from both sides</em>

8=5x-2y+15          <em>subtract 15 from both sides</em>

-7=5x-2y

<h3>Answer: 5x - 2y = -7</h3>
5 0
3 years ago
How many different combinations are possible if each lock contains the numbers 0 to 39, and each combination contains three dist
Georgia [21]
(e) Each license has the formABcxyz;whereC6=A; Bandx; y; zare pair-wise distinct. There are 26-2=24 possibilities forcand 10;9 and 8 possibilitiesfor each digitx; yandz;respectively, so that there are 241098 dierentlicense plates satisfying the condition of the question.3:A combination lock requires three selections of numbers, each from 1 through39:Suppose that lock is constructed in such a way that no number can be usedtwice in a row, but the same number may occur both rst and third. How manydierent combinations are possible?Solution.We can choose a combination of the formabcwherea; b; carepair-wise distinct and we get 393837 = 54834 combinations or we can choosea combination of typeabawherea6=b:There are 3938 = 1482 combinations.As two types give two disjoint sets of combinations, by addition principle, thenumber of combinations is 54834 + 1482 = 56316:4:(a) How many integers from 1 to 100;000 contain the digit 6 exactly once?(b) How many integers from 1 to 100;000 contain the digit 6 at least once?(a) How many integers from 1 to 100;000 contain two or more occurrencesof the digit 6?Solutions.(a) We identify the integers from 1 through to 100;000 by astring of length 5:(100,000 is the only string of length 6 but it does not contain6:) Also not that the rst digit could be zero but all of the digit cannot be zeroat the same time. As 6 appear exactly once, one of the following cases hold:a= 6 andb; c; d; e6= 6 and so there are 194possibilities.b= 6 anda; c; d; e6= 6;there are 194possibilities. And so on.There are 5 such possibilities and hence there are 594= 32805 such integers.(b) LetU=f1;2;;100;000g:LetAUbe the integers that DO NOTcontain 6:Every number inShas the formabcdeor 100000;where each digitcan take any value in the setf0;1;2;3;4;5;7;8;9gbut all of the digits cannot bezero since 00000 is not allowed. SojAj= 9<span>5</span>
8 0
3 years ago
If you toss three coins, what are the odds in favor of getting exactly two tails and one head?
jekas [21]

Answer:

I think the answer is 3:5

7 0
3 years ago
Other questions:
  • A light can shine blue (B), red (), or yellow (Y) Every second the color changes and is recorded. Estimate the probability the n
    13·1 answer
  • Solve for r. <br> 3r = 36
    14·2 answers
  • Can someone please help me ?
    12·2 answers
  • What expression can you write to describe the overall change in temperature?Do not included the temperature at the beginning of
    12·1 answer
  • What is the answer please help me
    11·2 answers
  • A ramp is being used to unload the back of a truck. The bottom of the ramp is 12 feet from the truck and the top of the ramp is
    11·2 answers
  • After a 40% discount an item costs $360. what is the original cost
    14·2 answers
  • -g + 2(3 + g) = -419 + 1)<br> What is the solution
    7·2 answers
  • How to slove this one?
    12·1 answer
  • Two cars leave the same location traveling in opposite directions. One car leaves at 3:00 p.m. traveling at an average rate of 5
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!