Karen Morrison and Nick Hamshaw Solutions for Exercise 3: Exercise 12.3

The distribution of marks obtained by the students in a class is shown in the table below:

The class teacher is asked to report on her class's performance and wants to show them to be doing as well as possible. Which average should she include in her report and why?

The masses of $20$ soccer players were measured to the nearest kilogram and this stem-and-leaf diagram was produced.

$\begin{array}{cccccccc}\mathrm{Stem}& \mathrm{Leaf}& & & & & & \\ 4& & 6& & & & & \\ 5& & 4& 0& 0& & & \\ 5& & 7& 8& 9& 5& & \\ 6& & 3& 0& 1& 1& 3& 2\\ 6& & 6& 8& 6& 9& & \\ 7& & 4& 0& & & & \end{array}$          

How many players have mass of $60$ kilograms or more?

The masses of $20$ soccer players were measured to the nearest kilogram and this stem-and-leaf diagram was produced.

$\begin{array}{cccccccc}\mathrm{Stem}& \mathrm{Leaf}& & & & & & \\ 4& & 6& & & & & \\ 5& & 4& 0& 0& & & \\ 5& & 7& 8& 9& 5& & \\ 6& & 3& 0& 1& 1& 3& 2\\ 6& & 6& 8& 6& 9& & \\ 7& & 4& 0& & & & \end{array}$          

Why is the mode not a useful statistic for this data.

The masses of $20$ soccer players were measured to the nearest kilogram and this stem-and-leaf diagram was produced.

$\begin{array}{cccccccc}\mathrm{Stem}& \mathrm{Leaf}& & & & & & \\ 4& & 6& & & & & \\ 5& & 4& 0& 0& & & \\ 5& & 7& 8& 9& 5& & \\ 6& & 3& 0& 1& 1& 3& 2\\ 6& & 6& 8& 6& 9& & \\ 7& & 4& 0& & & & \end{array}$          

What is the range of masses?

The masses of $20$ soccer players were measured to the nearest kilogram and this stem-and-leaf diagram was produced.

$\begin{array}{cccccccc}\mathrm{Stem}& \mathrm{Leaf}& & & & & & \\ 4& & 6& & & & & \\ 5& & 4& 0& 0& & & \\ 5& & 7& 8& 9& 5& & \\ 6& & 3& 0& 1& 1& 3& 2\\ 6& & 6& 8& 6& 9& & \\ 7& & 4& 0& & & & \end{array}$          

What is the median mass of the players?

The number of electronic components produced by a machine every hour over a $24$- period is:

$$\begin{gathered} 143,128,121,126,134,150,128,132,140131,146,128 \\ 133,138,140,125,142,129,136,130,133,142,126,129 \end{gathered}$$

Using two intervals for each stem, draw an ordered stem-and-leaf diagram of the data.

The number of electronic components produced by a machine every hour over a $24$- period is:

$$\begin{gathered} 143,128,121,126,134,150,128,132,140131,146,128 \\ 133,138,140,125,142,129,136,130,133,142,126,129 \end{gathered}$$

Determine the range of the data.

The number of electronic components produced by a machine every hour over a $24$- period is:

$$\begin{gathered} 143,128,121,126,134,150,128,132,140,131,146,128 \\ 133,138,140,125,142,129,136,130,133,142,126,129 \end{gathered}$$

Find median of the data.