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
Marta_Voda [28]
3 years ago
11

In a random sample, 10 employees at a local plant were asked to compute the distance they travel to work to the nearest tenth of

a mile. The data is listed below.
1.1, 5.2, 3.6, 5.0, 4.8, 1.8, 2.2, 5.2, 1.5, 0.8
1. Compute the range, sample standard deviation and sample variance of the data.
2. Calculate the mean, median and the mode of the data.
3. Based on these numbers, what is the shape of the distribution?
Mathematics
1 answer:
Marta_Voda [28]3 years ago
5 0

Answer:

1) Range = Max-Min= 5.2-0.8=4.4

The sample variance can be calculated with this formula:

s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}

And we got:

s^2 = 3.324

And the sample deviation would be:

s= \sqrt{3.324}= 1.823

2) \bar X =\frac{\sum_{i=1}^n X_i}{n}

And we got:

\bar X= 3.12

The median since we have 10 values would be the average between the 5th and 6th observations from the dataset ordered and we got:

Median= \frac{2.2+3.6}{2}= 2.9

And finally the mode would be the most repated value and we got:

Mode= 5.2

3) Median

So then we can conclude that probably this distirbution is left skewed

Step-by-step explanation:

We have the following dataset given:

1.1, 5.2, 3.6, 5.0, 4.8, 1.8, 2.2, 5.2, 1.5, 0.8

Part 1

We can order the dataset on increasing way and we got:

0.8 1.1 1.5 1.8 2.2 3.6 4.8 5.0 5.2 5.2

The range can be calculated like this:

Range = Max-Min= 5.2-0.8=4.4

The sample variance can be calculated with this formula:

s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}

And we got:

s^2 = 3.324

And the sample deviation would be:

s= \sqrt{3.324}= 1.823

Part 2

The mean can be calculated with this formula:

\bar X =\frac{\sum_{i=1}^n X_i}{n}

And we got:

\bar X= 3.12

The median since we have 10 values would be the average between the 5th and 6th observations from the dataset ordered and we got:

Median= \frac{2.2+3.6}{2}= 2.9

And finally the mode would be the most repated value and we got:

Mode= 5.2

Part 3

For this case we know that:

Median

So then we can conclude that probably this distirbution is left skewed

You might be interested in
Y = 3/2x + 3<br> The slope and y-intercept
ra1l [238]

Answer:

Slope=3/2

Y-intercept=3

Step-by-step explanation:

7 0
2 years ago
What are the solutions to 7x2−15x−18=0?
Harlamova29_29 [7]

Answer:

C.) X=3 and X=-6/7

Step-by-step explanation:

Use the quadratic formula to solve

4 0
2 years ago
Read 2 more answers
Twice a number (z) added to 21 is equal to 9 times the number added to 7. What is the number?
pickupchik [31]

Answer:

The number is  2

Step-by-step explanation:

Twice a number (z) = 2*z = 2z

Twice a number (z) added to 21  = 2z + 21

9 times the number added to 7 = 9z + 7

9z + 7 = 2z + 21

Subtract 2z form both sides

9z - 2z + 7 = 21

       7z + 7 = 21

Subtract 7 from both sides

7z = 21 - 7

 7z = 14

Divide both sides by 7

z = 14/7

z = 2

5 0
2 years ago
5. Why did it take 2 years for the U.S. to enter WW2 and why did we finally enter the war?
AlladinOne [14]
The U.S wanted to be isolationists

it did not enter the war untill the japanese bombed Pearl Harbor
6 0
2 years ago
Find the values of x and y
Dominik [7]
6x-6=5x+2\\&#10;x=8\\\\&#10;x+5=3y+7\\\\&#10;8+5=3y+7\\&#10;3y=6\\&#10;y=2&#10;
4 0
3 years ago
Other questions:
  • What is x-3y=-6 in slope intercept form
    7·2 answers
  • The value of √222 is between which two integers?
    8·1 answer
  • Three teaspoons equals 1 tablespoon. A pumpkin bread recipe calls for 1 teaspoons of cinnamon, 1 teaspoon of nutmeg, 1 teaspoon
    7·1 answer
  • How many times does 85 go into 100
    5·2 answers
  • A rate of 5 yards per second is equal to how many yards per minute?
    8·1 answer
  • In a class of 80 students, 42 received a grade of
    7·1 answer
  • What is the slope of the line through (-1, 2) and (-3,-2)?
    7·1 answer
  • A. 17 + 4p<br> b. 18 + 3d + 3p<br> c. 18 + 4p<br> d. 17 + 3d + 3p
    15·2 answers
  • I need the answer ASAP please
    7·1 answer
  • From Denver to Chicago = 3 in. If the scale is 1 in = 300 miles, find
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!