Two normal distributions are compared. One has a mean of 10 and a standard deviation of 10. The second normal distribution has a mean of 10 and a standard deviation of 2. Which of the following is true

the locations of the distributions are different
the distributions are from two different families
the dispersions of the distributions are different
the dispersions of the distributions are the same

Question

07-04-2020
Mathematics

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Two normal distributions are compared. One has a mean of 10 and a standard deviation of 10. The second normal distribution has a mean of 10 and a standard deviation of 2. Which of the following is true

the locations of the distributions are different
the distributions are from two different families
the dispersions of the distributions are different
the dispersions of the distributions are the same

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osondumartins osondumartins · Answer 1 · 2020-04-09T05:53:04+02:00

Answer:the dispersions of the distributions are different.

Step-by-step explanation: The dispersion of a normal distribution is the rate of spread of the set of data available within the data received. This is usually determined using either the range,interquatile range and the standard deviation, the most widely used measure if dispersion is the standard deviation.

SINCE THE STANDARD DEVIATION OF THE DATA IS DIFFERENT,IT MEANS THAT THE DISPERSIONS OF THE DISTRIBUTIONS ARE DIFFERENT.