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
Which inequality is the solution to 20+2 &lt;<br> Ž -8?
Maru [420]

Answer:

the 20 +2

Step-by-step explanation:

5 0
2 years ago
The equation of a line is y = -3x. To which equation is the line parallel to? A. Y = 1 third x minus 4 B. Y = 3x + 10 C. Y = -10
Sergeeva-Olga [200]

Answer:

This line would be parallel to C. y = -10 - 3x

Step-by-step explanation:

This is because parallel lines have the same slope. This means we must see the same coefficient of x in both equations. Both of these two equations have a coefficient of -3 on x.

6 0
3 years ago
3x + 2y = 2
iragen [17]
A) (-2,4) hope this helps 
6 0
3 years ago
What are some steps for the equation 2=z-14
IgorLugansk [536]
Since the opposite operation of addition is subtraction you subtract. So you add 14 both sides and now z is by itself. finally just add 2 and 14 which is 16

5 0
3 years ago
What numbers are divisible by 810
Andrews [41]
If only + numbers are acceptable, then the numbers divisible by 810 are represented by {810n}, where n = {0, 1, 2, 3, ... }
8 0
2 years ago
Other questions:
  • A spherical balloon is inflated with gas at the rate of 300 cubic centimeters per minute. How fast is the radius of the balloon
    11·1 answer
  • the graph of g(x) is the graph of f(x)=|x| translated 6 units to the right write the equation of g(x)
    6·1 answer
  • Ross resides in an apartment where houses are arranged horizontally. She resides at door number 3.if she want to visit her frien
    13·1 answer
  • PLS HELP ill give brainliest im really stuck and its DUE SOON
    14·1 answer
  • Sweety’s mother is 12 years more than twice Sweety’s age. After 8 years, she will be 20 years less than three times Sweety’s age
    10·2 answers
  • Find the midpoint of the line segment with end coordinates of:<br> (1,4) and (5,2)
    15·1 answer
  • What is the recursive formula for this sequence . 10,14,18,22,26,...
    6·1 answer
  • I need help on these questions​
    11·1 answer
  • A girl makes $18 per hour as a math rotor. Her paycheck is calculated by multiplying by $18 times the number of hours she worked
    7·1 answer
  • A 16-ounce of shampoo cost $4.69. What is the price per ounce, rounded to the nearest cent
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!