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:

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

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

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

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

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

Explanation / Answer

= 100

= 10

According to empirical rule,

+ covers 68% of area

+ 2 covers 95% of area

+ 3 covers 97.5% of area

Option-E) 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.