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
Question 3
igor_vitrenko [27]

Answer:

The system has exactly one solution where x = 0 and y = -3.

Step-by-step explanation:

-6x + y = -3

7x - y = 3

(7x - 6x) + (y - y) = 3 - 3

x + 0 = 0

x = 0

7(0) - y = 3

0 - y = 3

-y = 3

y = -3

-6(0) + y = -3

0 + y = -3

y = -3

So, the system has exactly one solution where x = 0 and y = -3.

Hope this helps!

7 0
3 years ago
Sun Lei bought a laptop computer for $1800.
vekshin1

Subtract to find the amount of tax paid:

1890 - 1800 = 90

Divide the amount of tax by the price of the computer:

90 / 1800 = 0.05

Multiply the decimal by 100:

0.05 x 100 = 5%

The tax rate is 5%

6 0
3 years ago
Justify x over 3 minus 7 equals 11
drek231 [11]

Answer:

54/3-7=11

Step-by-step explanation:

x/3<u>-7=11</u>

   +7 +7

(3)x/3=18(3)

     x=54

Check

54/3-7=11

18-7=11

11=11

4 0
3 years ago
2x^2+28x+98=0 factor completely
Julli [10]
2(x+7)^2=0 would be your answer :)
4 0
3 years ago
Complete the square to transform the quadratic equation into the form (x – p)2 = q. x2 - 12x - 5 = 7 A) (x - 36)2 = 9 B) (x - 6)
iren2701 [21]

x2 - 12x - 12 = 0

(x - 6)2 - 48 = 0

(x - 6)2 = 48

Hence, the answer is (B).

6 0
3 years ago
Read 2 more answers
Other questions:
  • A rectangular solid has a length of 6.1 m, a width of 2.6 m, and a height of 4 m. Find the volume of the solid. (Round your answ
    5·2 answers
  • This pair of figures is similar. find the missing side.​
    6·1 answer
  • You start at (8, 1). You move right 2 unit and left 3 units. Where do you end?
    8·2 answers
  • Two beauticians, Lydia and Jackie, are working on your hair. Lydia can complete the work in 2 hours, while Jackie can complete t
    13·2 answers
  • Find dydx for xy+x+y=6. Differentiate both sides of the equation with respect to x, and then solve for dydx. Do not substitute f
    9·1 answer
  • 5. Find the area of the figure.
    13·1 answer
  • Can somebody please help me with delta math
    7·1 answer
  • Calculate the value
    5·1 answer
  • 4b. What is the DIFFERENCE between last week's profit and this week's profit? Show your
    13·1 answer
  • (Please help me quickly! Timed Quiz)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!