Question

for a normal distribution curve with the mean of 15 and a standard deviation of 5, which range of the variable defines an area under the curve corresponding to a probability of approximately 68%?

Answer 1

Using empirical rule,
Upper range of 68%=15+5=20
Lower range =10
Range=10

Answer 2

range of the variable defines an area under the curve corresponding to a probability of approximately 68% is from 10 to 20

Given :

for a normal distribution curve with the mean of 15 and a standard deviation of 5.

Lets look at the graph of normal distribution

mean is 15 that is in the middle

First standard deviation is 15+5=20

second is 20+5=25

third is 25+5=30

the graph is attached below.

In this middle two areas shows 34%  and 34%

34+34=68%

So  range of the variable defines an area under the curve corresponding to a probability of approximately 68% is from 10 to 20

Learn more :   brainly.com/question/14644201