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

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.

d i think

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have