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
NNADVOKAT [17]
2 years ago
5

3. The grade-point averages of 20 college seniors selected at random from a graduating class are as follows:

Mathematics
1 answer:
Ainat [17]2 years ago
6 0

The standard deviation of the grade points average of the college seniors is 0.57.

The given parameters:

3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9

The sum of the given data is calculated as follows;

∑x = 3.2 + 1.9 + 2.7 +  2.4 + 2.8 + 2.9 + 3.8 + 3.0 +  2.5 + 3.3 + 1.8 + 2.5 + 3.7 + 2.8 + 2.0 + 3.2 + 2.3 + 2.1 + 2.5 + 1.9

∑x = 53.3

The mean of the distribution is calculated as follows;

\bar x = \frac{\Sigma x}{N} \\\\\bar x = \frac{53.3}{20} \\\\\bar x = 2.665

The square of the difference between the grade point and the mean;

\Sigma (x - \bar x)^2 = (3.2- 2.665)^2 + (1.9-2.665)^2 + (2.7- 2.665)^2 + (2.4-2.665)^2  \\\\+(2.8-2.665)^2 +(2.9 - 2.665)^2 + (3.8 - 2.665)^2 + (3-2.665)^2+ \\\\(2.5 -2.665)^2 + (3.3 - 2.665)^2 + (1.8-2.665)^2 + (2.5 - 2.665)^2 + \\\\(3.7-2.665)^2 + (2.8 - 2.665)^2 + (2-2.665)^2 + (3.2-2.665)^2 + \\\\(2.3 - 2.665)^2 + (2.1-2.665)^2 + (2.5-2.665)^2 + (1.9 - 2.665)^2\\\\\Sigma (x - \bar x)^2 = 6.5055

The standard deviation of the grade points is calculated as follows;

\sigma = \sqrt{\frac{\Sigma (x-\bar x)^2}{N} } \\\\\sigma = \sqrt{\frac{6.5055}{20} } \\\\\sigma = 0.57

Thus, the standard deviation of the grade points average of the college seniors is 0.57.

Learn more about standard deviation here: brainly.com/question/12402189

You might be interested in
High Voltage Gymnasium holds a contest to see who can climb a rock wall the fastest. The table below shows a climber's time in m
sveticcg [70]

Answer: yes

Step-by-step explanation: think about it

3 0
3 years ago
How many fluid ounces of vinegar should be mixed with 80 fluid ounces of water
patriot [66]
That depends on what you are making.  If you are going for the vinegar cleanse thing that some people do on their face, then I would recommend either using 120 oz of vinegar or 160 oz vinegar.  If you want salad dressing, then you don't use water at all, and instead you use olive oil and salt, Dijon mustard, pepper, and something like chopped shallots, and with this you would use only 1 fluid ounce of vinegar (this is a recipe you can find on epicurious.com).  So it really depends on what you are trying to do.  I personally like my water without vinegar, and I think that vinaigrette salad dressing is a lot better without 80 oz of water, but that is a personal preference.
5 0
3 years ago
Which of the following correctly shows the distributive property?
exis [7]
D
4(x+5) = (4)(x)+(4)(5)
6 0
3 years ago
5. Change the following mixed numbers to improper
bonufazy [111]
A.23/6
b.23/8
c.26/5
d.64/9
3 0
2 years ago
The Chang family is on their way home from a cross-country road trip. During the trip, the function D (t) = 3260 - 55t can be us
Lilit [14]

Answer:

See below.

Step-by-step explanation:

D(t) = 3260 - 55t

The function that shows their distance from home as a function of time shows that they started 3260 miles from home and are driving at 55 miles per hour.

part a:

D(12) = 3260  55(12)

D(12) = 3260 - 660

D(12) = 2600

Interpretation: After 12 hours of driving home, they are 2600 miles from home.

part b:

D(t) = 2490

3260 - 55t = 2490

-55t = -770

t = 14

Interpretation: When they are 2490 miles from home, they have driven for 14 hours.

5 0
3 years ago
Other questions:
  • Solve this equation<br> c<br> \/3=6 1/7
    10·1 answer
  • 50 POINTS FOR WHOEVER ANSWERS CORRECTLY!!!!! Rotate these coordinates 270 degrees counterclockwise around the origin and then tr
    7·1 answer
  • (50 POINTS AND BRAINLIEST FOR BEST)
    14·2 answers
  • Given line segment AB, the coordinates of A are (3,-5) and the coordinates midpoint are (5,-1), what are the coordinates for B?
    9·1 answer
  • What is the midpoint segment with endpoints j(-3,-2),K(4,-6)?
    11·1 answer
  • 1.6(x−y)/2 when x = 10 and y = 5?
    12·1 answer
  • Explain how to write an equation of a line given the slope and one point on the line
    5·2 answers
  • A polling firm wants to use a one-sample z interval to estimate what proportion of voters in a country plan on
    6·1 answer
  • 2x^2-12x+6=0 how to solve
    8·1 answer
  • Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!