Let's assume there are 3 people in Room A and another 3 people in Room B. The ages of the people in Room A are 25, 25, and 25. The ages of the people in Room B are: 10, 25, and 40. The mean of the ages in both rooms is 25. Does that mean that both room have populations that are equivalent? Is it fair to say that the number 25 is truly an indication of how old the people in the two rooms are? Well, not exactly... There is NO dispersion in the ages of the people in Room A (since everybody is the same age...), but there is large dispersion in Room B.

The standard deviation of the ages in Room A is zero; the standard deviation of the ages in Room B is 12.25. So, when we say that for Room B the mean is 25 and the standard deviation is 12.25, we get a better picture of the age distribution in the room. Standard deviation is a measure of the "spread" in the data.

Also, how did I get 12.25? How was it calculated?

  1. 👍
  2. 👎
  3. 👁
  1. Standard Deviation = SQRT [ {sqr(10-25) + sqr (25-25) + sqr (40-25)}/3 ]

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    It takes 8 hours for 5 people to paint a room. How long would it take 4 people?

  2. chem 121

    How many air molecules are in a 15.0×12.0×10.0 ft room? Assume atmospheric pressure of 1.00 atm, a room temperature of 20.0 ∘C, and ideal behavior. Volume conversion:There are 28.2 liters in one cubic foot.

  3. Physics

    In a "Rotor-ride" at a carnival, people are rotated in a cylindrically walled "room." (See Fig. 5-35.) The room radius is 4.6 m, and the rotation frequency is 0.7 revolutions per second when the floor drops out. What is the

  4. statistics

    If 20% of the people in a community use the emergency room at a hospital in one year, find the probabilities for a sample of 10 people, a.At the most three use the emergency room. b.Exactly three use the emergency room c.At least

  1. math

    each table in a banquet room seats 8 people. The room can seat no more than 360 people. Write and solve an inequality to represent the number of tables in the banquet room

  2. Physics

    Of the following materials, sound waves travel fastest through...? Helium at room temperature Air at room temperature Water at room temperature Steel at room temperature

  3. Trigonometry

    Statuary Hal is an elliptical room in the U.S. Capitol. Teh room is also called the Whispering Gallery because a person standing at one focus of the room can hear even a whisper spoken by a person standing at the other focus.

  4. PreCalculus

    I need help with a Matrix Algebra problem A small school has 100 students who occupy three classrooms A, B, and C. After the first period of the school day, half the students in room A move to room B, one-fifth of the students in

  1. Physics

    60) A class of 10 students taking an exam has a power output per student of about 200W. Assume the initial temperature of the room is 20 C and that its dimensions are 6.0 m by 15.0 m by 3.0 m. What is the temperature of the room

  2. Math

    The floor plan of a room has a scale of 2.5in : 35ft. In the drawing, the length of the room is 8in. and the width of the room is 6in. What is the perimeter of the actual room? *

  3. Maths

    A rectangular room 8m long by 5m wide contains 129m square of air. Calculate the height of the room. I assume that the above question is a trick question. Since the room is 8m high, it then goes that the height I 8metres. Thank

  4. math

    Statuary Hall is an elliptical room in the United States Capitol Building in Washington, D.C. The room is also referred to as the Whispering Gallery because a person standing at one focus of the room can hear even a whisper spoken

You can view more similar questions or ask a new question.