91影视

The following are the $29$measurements of the earth's density as a multiple of the density of water made by Cavendish:

The formula to compute the mean is: $Mean=\frac{Sumofobservations}{Numberofobservations}$

The stem and leaf plot is constructed as:

Because most of the data is in the center of the plot, the above-constructed plot reveals that the distribution is approximately symmetric.

Center: At the highest bar, the center has a value of $5.5$

Data has taken values ranging from $4.88$ to $5.85$

There are no values that are far apart from each other. As a result, this distribution does not contain any outliers.

The density of the earth can be estimated using the computed sample mean as follows: $$\begin{gathered} \overline{x}=\frac{危x}{n} \\ =\frac{5.50+5.61+........+5.85}{29} \\ =\frac{157.99}{29} \\ =5.4479 \end{gathered}$$

Thus, the required value is $5.4479$