The spread of data set X is greater than the spread of data set Y, and the data sets are normally distributed. Which statement i

Question

3 years ago

5

The spread of data set X is greater than the spread of data set Y, and the data sets are normally distributed. Which statement i

s true?. a. A. . . The mean of data set X is greater than the mean of data set Y. . . . . B. . The median of data set X is less than the median of data set Y.. . . . . C. . The standard deviation of data set X is greater than the standard deviation of data set Y.. . . . . D. . The range of data set X is less than the range of data set Y.. . . . . E. . The mode of data set X is greater than the mode of data set Y

Mathematics

2 answers:

grigory [225] · Answer 1 · 2022-01-27T02:03:16+03:00

Answer: C. . The standard deviation of data set X is greater than the standard deviation of data set Y.

Step-by-step explanation:

We know that the greater spread out a data distribution has greater standard deviation.

Given: The spread of data set X is greater than the spread of data set Y, and the data sets are normally distributed.

Then , The standard deviation of data set X is greater than the standard deviation of data set Y.

icang [17] · Answer 2 · 2022-01-27T00:30:32+03:00

Given the statements: "The spread of data set X is greater than the spread of data set Y, and the data sets are normally distributed." The choice with the best answer would be

C. <span>The standard deviation of data set X is greater than the standard deviation of data set Y.

This is because the standard deviation is larger when the set is more spread out.</span>