# In each of Exercises, the quantitative data set under consideration has roughly a bell-shaped distribution. Apply the empirical rule to solve each exercise.The data set has 150 observations and has mean 35 and standard deviation 4. Approximately how many observations lie between 31 and 39?

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In each of Exercises, the quantitative data set under consideration has roughly a bell-shaped distribution. Apply the empirical rule to solve each exercise.

The data set has 150 observations and has mean 35 and standard deviation 4. Approximately how many observations lie between 31 and 39?

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Step 1

Solution:

Given that,

N=150

Mean=35

Standard deviation=4

Lies between 31 and 39?

Step 2

The data represent apply chebyshev’s rule for quantitative data,

First we want to calculate interval and k then find the number of observations.

The interval within 1 standard deviation.

Step 3

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