Question

If a variable has a distribution that is​ bell-shaped with mean 28 and standard deviation 5​, then according to the Empirical​ Rule, 99.7 of the data will lie between which​ values?

Answer 1

Answer:

99.7% data lies between 13 to 43

Step-by-step explanation:

Mean:  $\mu = 28$

Standard deviation : $\sigma = 5$

68% of data lies between $\mu - \sigma$ to $\mu +\sigma$

95% of the data lies between $\mu - 2\sigma$ to $\mu +2\sigma$

99.7% data lies between  $\mu - 3\sigma$ to $\mu +3\sigma$

We are supposed to find  99.7 of the data will lie between which​ values

99.7% data lies between  $28 - 3(5)$ to $28 +3(5)$

99.7% data lies between  13 to 43

Hence 99.7% data lies between 13 to 43