Chapter SH, Problem 13.1.4EP

To determine

To find: the mean, median, and mode for the given data.

Answer to Problem 13.1.4EP

The mean is $0.4$ .

The median is $0.4$ .

The mode is $0.3$ .

Explanation of Solution

Given:

Length of Snakes(meters)

Data set with the given line plot is

  $0.2,0.2,0.3,0.3,0.3,0.3,0.4,0.4,0.4,0.5,0.5,0.5,0.6,0.8$

It represents the lengths of different snakes.

Mean:

Mean is sum of data points divided by the number of data points.

Here number of data points is $14$ .

  $\begin{array}{l}Mean=\frac{2\times 0.2+4\times 0.3+3\times 0.4+3\times 0.5+0.6+0.8}{14}\\ =\frac{5.7}{14}\\ \approx 0.4\end{array}$

Hence, the mean is $0.4$ .

Median:

Median is the middle numbers of the data ordered from lowest to greatest.

Data in increasing order is

  $0.2,0.2,0.3,0.3,0.3,0.3,0.4,0.4,0.4,0.5,0.5,0.5,0.6,0.8$

Here middle number are $0.4,0.4$ .

Mean of $0.4,0.4$ is $\frac{0.4+0.4}{2}=0.4$

Hence, the median is $0.4$ .

Mode:

Mode is the number or numbers that occur more often.

Data point that occur more often is $0.3$

Hence, the mode is $0.3$ .

Conclusion:

Hence, the mean is $0.4$ .

Hence, the median is $0.4$ .

Hence, the mode is $0.3$ .