Q 3.19 . - Elementary Statistics

Question

Find the 

a. Mean b. median c. models 

For the mean and the median, round each answer to one more decimal place than that used for the observations. 

Amphibian Embryos. In a study of the effects of radiation on amphibian embryos titled "Shedding Light on Ultraviolet Radiation and Amphibian Embryos" L. Licht recorded the time it took for a sample of seven different species of frogs' and toads' eggs to hatch. The following table shows the times to hatch, in days. 

$6, 7, 11, 6, 5, 5, 11$

Step-by-Step Solution

Answer

$$\begin{gathered} a) 7.3 \\ b) 6 \\ c) 5, 6 and 11 \end{gathered}$$

Step 1. Given information.

We have given data: $6, 7, 11, 6, 5, 5, 11$.

Step 2. Mean of the data.

Mean$=\frac{Sum of observation }{Number of observation}$

$$\begin{gathered} =\frac{6+7+11+6+5+5+11}{7} \\ =\frac{51}{7} \\ =7.285 \\ =7.3 days \end{gathered}$$

Step 3. Median of the data.

Arrange the data in increasing order $5, 5, 6, 6, 7, 11, 11$.

The number of observation is $7$.

The median is the observation exactly in the middle of the ordered list.

Median$= 6 days$

Step 4. Mode of the data.

The greatest frequency is the mode of the data set.

Thus, the mode of the data set is $5, 6 and 11$.