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
tiny-mole [99]
3 years ago
14

Consider a data set containing the following values: 70 65 71 78 89 68 50 75 The mean of the preceding values is 70.75. The devi

ations from the mean have been calculated as follows: –0.75 –5.75 0.25 7.25 18.25 –2.75 –20.75 4.2
If this is the sample data, the sample variance is _____ and the sample standard deviation is ___

If this is a population data, the population variance is_____ and the population standard deviation is_____
Mathematics
1 answer:
Leokris [45]3 years ago
7 0

Answer:

If this is the sample data, the sample variance is 125.07 and the sample standard deviation is 11.18

If this is a population data, the population variance is 109.44 and the population standard deviation is 10.46

Step-by-step explanation:

We are given the following data-set:

70, 65, 71, 78, 89, 68, 50, 75

Deviations from the mean

–0.75, –5.75 , 0.25, 7.25, 18.25, –2.75, –20.75, 4.2

Sample size, n = 8

Sample:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

s = \sqrt{\dfrac{875.5}{7}} = 11.18

\text{ Sample variance} = s^2 = 125.07

Population:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

\sigma = \sqrt{\dfrac{875.5}{8}} = 10.46

\text{ Population variance} = \sigma^2 = 109.44

You might be interested in
Question 9: emathintruction can you guys help me? .....
stira [4]

Answer:

Choice #1) multiplied by 3

4 0
3 years ago
First answer gets brainliest!!!!! Please help
maw [93]

Answer: first answer

:))))))))))))))))))

Where my brainlist

4 0
3 years ago
Read 2 more answers
How do you find the measurements of a pentagon?
TEA [102]
Angel D: 56 degrees that's the answer and your welcome
5 0
2 years ago
Read 2 more answers
Harry the horse has saved 95.00 for a new saddle that costs 175.00. He works part time at the rodeo and earns 8.00 an hour. All
OLEGan [10]

Answer:

10 hours

Step-by-step explanation:

If you were to subtract 175 by 95 then you would get 80, then you would divide 80 by 8 then you would get 10.

3 0
3 years ago
What is being displayed ?
sleet_krkn [62]

Answer: The answer is (2)

Just evaluate the functions with the values of the figure

4 0
3 years ago
Other questions:
  • 4.44 x 4 = please my sister needs it
    13·1 answer
  • The area of a rectangle is
    6·1 answer
  • When rolling two fair, standard dice, what is the probability that the sum of the numbers rolled is a multiple of 3 or 4?
    10·1 answer
  • Find the value of x in each case:
    14·1 answer
  • Explain how to convert measurements in the metric system
    9·1 answer
  • Can you show the steps to solve this?
    12·1 answer
  • A mealworm crawled 2.1 meters in 6 minutes. At this rate, how many meters did the mealworm crawl in 1 minute
    13·1 answer
  • Simplify the expression 2x+4(3y+x).
    9·2 answers
  • Triangle ABC is similar to triangle AFE. Create a proportion to solve for x 25 points
    13·1 answer
  • One step equations- solve for "X" or find it. Please help
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!