Question

The dot plot shows the ages of students, in years, on a basketball team.Each dot represents 1 student.Age (yr)nd the mean (rounded to the nearest tenth) and mode of the data.Mean=and Mode=

Answer 1

As given by the question

There are given that the dot plots that show the ages of students.

Now,

As obtained from the dot plot:

$x=11,\text{ 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 15, 15}$

Now,

The mean of the given data is:

$\text{Mean}=\frac{Addition\text{ of the total given data}}{\text{Total number of data}}$

So,

$\begin{gathered} \text{Mean}=\frac{Addition\text{ of the total given data}}{\text{Total number of data}} \\ \text{Mean}=\frac{11+11+11+12+12+12+13+13+13+13+14+14+15+15}{14} \end{gathered}$

Then,

$\begin{gathered} \text{Mean}=\frac{179}{14} \\ \text{Mean}=12.8\text{ years} \end{gathered}$

And,

The mode of the given data is:

The mode is defined for the most frequently occurring value

So,

$\begin{gathered} \text{Mode}=\text{most frequently occurring value} \\ \text{Mode}=13 \end{gathered}$

Hence, the value of the mean is 12.8 and the mode is 13.