A certain large data set has a general bell-shape to its distribution, a mean eq

Question

A certain large data set has a general bell-shape to its distribution, a mean equal to 100 and a standard deviation equal to ± 10. According to the Empirical Rule, which of the following would be true?

Select one:

A.)We would expect all of the values to be in the interval from 80 to 120.

B.)We can be certain that at least 8/9 of the values would be in the interval from 80 to 120.

C.)We would expect about 95% of the values to be in the range from 80 to 120.

D.)We could be certain that at least 75% of the values would be in the range from 90 to 110.

E.)We would expect about 68% of the values to be in the range from 80 to 120.

Explanation / Answer

= 100

= 10

+ covers 68% of the area.

+ 2 covers 95% of the area.

+ 3 covers 99.7% of the area.

So, The correct option is Option-C) We would expect about 95% of the values to be in the range from 80 to 120.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.