If a variable has a distribution that is bell-shaped with mean 22 and standard deviation 4 then according to empirical rule what percent of the data will lie between 14 and 30?

There is 95% of the data that will lie between 14 and 30.

Step-by-step explanation:

Since we have given that

Mean = 22

Standard deviation = 4

As we have the range between 14 and 30

1) First, we consider, 14, Then,

which can be written as  

Thus, 70 is 2 standard deviations to the left of the mean.

Similarly,

2) If we consider 30,Then,

which can be written as  

Thus, 30 is 2 standard deviations to the right of the mean.

According to Empirical Rule,

It is stated that within two standard deviation of the mean , there is about 95% of the data.

Hence, there is 95% of the data that will lie between 14 and 30.

step-by-step explanation: