Ask Question
10 February, 13:59

A data set has a normal distribution with a mean of 47 and a standard deviation of 4.6. Use this information to scale the horizontal axis with the mean of this distribution and values at 1, 2, and 3 standard deviations above and below the mean.

+5
Answers (1)
  1. 10 February, 15:14
    0
    Horizontal axis with 1, 2, and 3 standard deviations above the mean are 51.6, 56.2, 60.8

    Horizontal axis with 1, 2, and 3 standard deviations below the mean are 42.4, 37.8, 33.2

    Step-by-step explanation:

    A data set has a normal distribution with a mean of 47 and a standard deviation of 4.6

    Mean, M ⇒ 47 Standard deviation ⇒ 4.6

    From this information, you have to scale the horizontal axis with the mean of this distribution and values at 1, 2, and 3 standard deviations above and below the mean.

    Horizontal axis with 1, 2, and 3 standard deviations above the mean:

    1 standard deviation above the mean ⇒ M + SD

    ⇒ 47 + 4.6 = 51.6

    2 standard deviations above the mean ⇒ M + 2SD

    ⇒ 47 + (2 * 4.6) = 56.2

    3 standard deviations above the mean ⇒ M + 3SD

    ⇒ 47 + (3 * 4.6) = 60.8

    Horizontal axis with 1, 2, and 3 standard deviations below the mean:

    1 standard deviation below the mean ⇒ M - SD

    ⇒ 47 - 4.6 = 42.4

    2 standard deviations below the mean ⇒ M - 2SD

    ⇒ 47 - (2 * 4.6) = 37.8

    3 standard deviations below the mean ⇒ M - 3SD

    ⇒ 47 - (3 * 4.6) = 33.2
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A data set has a normal distribution with a mean of 47 and a standard deviation of 4.6. Use this information to scale the horizontal axis ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers