statistics

posted by .

using the numbers only 0 through 10 only whole numbers with repeats allowed

pick four numbers that would have the smallest standard deviation

I said four zeros

pick four numbers that would have the largest standard deviation

I said 0 0 0 10

is there more than one correct answer for either of these questions

  • statistics -

    Standard deviation σ is given by:
    σ² = Σ (x-x̄)²/n
    So if you can find the smallest difference between x and x̄, you have found the smallest value.
    (0,0,0,0) would work as well as any other number such as (5,5,5,5).

    For the maximum value, we would see the biggest spread possible. For four numbers, I would try (0,0,10,10). Try out other combinations (such as 0,0,0,10 and 0,10,10,10 to convince yourself that you have got the maximum.

  • statistics -

    Any four numbers that are the same would have a standard deviation of zero.

    The set of numbers 0,0,10,10 would have the largest average deviation from the mean (5). I suspect that would also have the largest standard deviation (also 5). Try others and see

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Please help me to find the first and third quartiles, Q1 and Q3, of the following set of numbers.13, 7, 15, 13, 13, 12, 9, 11, 19, 9 Qrrange the numbers in ascending order, like this: 7, 9, 9, 11, 12, 13, 13, 13, 15, 19 Now divide …
  2. math

    Four different positive integers sum to one hundred twenty-five. If you increase one of these numbers by four, decrease the second by four, the multuply the third by four, and divide the last by four, you will produce four equivalent …
  3. math

    Suppose that the format for license plates in a certain state is two letters followed by four numbers. How many different plates can be made if repetitions of numbers and letters are allowed except that no plate can have four zeros?
  4. Stats

    You are allowed to choose four whole numbers from 1 to 10 (including 1 and 10). You can only choose each number once though. Which of the following statements is FALSE?
  5. Statistics

    This is a standard deviation contest. You have a six sided die with the numbers 1 to 6 written on the faces. a)In order to have the smallest possible standard deviation what number(s) would have to show up if you rolled the die five …
  6. Math statistisc

    I have a 6 sided dice with numbers 1 to 6 written on faces. What number(s) would have to show up if you rolled the die five times in order to have the smallest possible standard deviation?
  7. Math statistisc

    I have a 6 sided dice with numbers 1 to 6 written on faces. What number(s) would have to show up if you rolled the die five times in order to have the smallest possible standard deviation?
  8. Math statistisc

    I have a 6 sided dice with numbers 1 to 6 written on faces. What number(s) would have to show up if you rolled the die five times in order to have the smallest possible standard deviation?
  9. math

    On a standard six-faced die,the numbers of the opposite faces always add to seven,Dena rolls a pair of fair,standard six-faced dice.She then takes the product of four numbers ,the two numbers on the faces that are showing on top of …
  10. Precalc

    To which set(s) of numbers does the number sqrt -16 belong?

More Similar Questions