Stem and Leaf Plot

Over a $14$-day period, data were collected on the number of passengers travelling on two ferries, $A$ and $Z.$ The results are presented to the right.

$\begin{array}{llllllllll}& & & & \mathrm{A}& & \mathrm{Z}& & & \\ & & 8& 7& 6& 2& & & & \\ & 7& 6& 4& 0& 3& 0& 5& 8& \\ & 8& 6& 5& 3& 4& 3& 4& 5& \begin{array}{ccc}7& 7& 7\end{array}\\ & & 5& 3& 3& 5& 0& 2& 6& \begin{array}{ccc}6& 9& \end{array}\\ & & & & & & & & & \\ & & & & & & & & & \end{array}$
The cost of a trip on ferry $A$ is $\$12.50$ and the cost of a trip on ferry $Z$ is $\$x.$ The takings on ferry $Z$ were $\$3.30$ less than the takings on ferry A over this period. Find the value of $x.$

Over a $14$-day period, data were collected on the number of passengers travelling on two ferries, $A$ and $Z.$ The results are presented to the right.
$\begin{array}{rrrrrrrrrr}\begin{array}{}\end{array}& & A& & Z& & & & & \\ 8& 7& 6& \mathbf{2}& & & & & & \\ 7& 6& 4& \mathbf{0}& 3& 0& 5& 8& & \\ 8& 6& 5& \mathbf{3}& 4& 3& 4& 5& 7& 7\\ 5& 3& 3& \mathbf{5}& 0& 2& 6& 6& 9& \end{array}$

Key$:3\left|5\right|0$
Represents $53$ passengers on $A$ and $50$ passengers on $Z$

How many more passengers travelled on ferry $Z$ than on ferry $A?$

Determine the mean, median and the range for the given stem and leaf plot given below:

Determine the mean, median, mode and the range for the given stem and leaf plot given below:

The runs scored by two batsmen in 15 cricket matches the same season were:
Batsman $P : 53, 41, 57, 38, 41, 37, 59, 48, 52, 39, 47, 36, 37, 44, 59.$
Batsman $Q : 56, 48, 31, 64, 21, 52, 45, 36, 57, 68, 77, 20, 42, 51, 71.$
Decide which of the batsmen performed more consistently. Justify your answer.

The runs scored by two batsmen in 15 cricket matches were:
Scores of batsman $P : 53, 41, 57, 38, 41, 37, 59, 48, 52, 39, 47, 36, 37, 44, 59.$
Scores of batsman $Q : 56, 48, 31, 64, 21, 52, 45, 36, 57, 68, 77, 20, 42, 51, 71.$
Show that the data in a diagram that allows easy comparison of the both batsman $P$ and batsman $Q$ performances.

Over a $14$-day period, data were collected on the number of passengers travelling on two ferries, $A$ and $Z.$ 

$\begin{array}{llllllllll}& & & & \mathrm{A}& & \mathrm{Z}& & & \\ & & 8& 7& 6& 2& & & & \\ & 7& 6& 4& 0& 3& 0& 5& 8& \\ & 8& 6& 5& 3& 4& 3& 4& 5& \begin{array}{ccc}7& 7& 7\end{array}\\ & & 5& 3& 3& 5& 0& 2& 6& \begin{array}{ccc}6& 9& \end{array}\\ & & & & & & & & & \\ & & & & & & & & & \end{array}$

Calculate the least and greatest possible number of days on which the two ferries could have carried exactly the same number of passengers.

Over a $14$-day period, data were collected on the number of passengers travelling on two ferries, $A$ and $Z.$ The results are presented to the right.

$\begin{array}{llllllllll}& & & & \mathrm{A}& & \mathrm{Z}& & & \\ & & 8& 7& 6& 2& & & & \\ & 7& 6& 4& 0& 3& 0& 5& 8& \\ & 8& 6& 5& 3& 4& 3& 4& 5& \begin{array}{ccc}7& 7& 7\end{array}\\ & & 5& 3& 3& 5& 0& 2& 6& \begin{array}{ccc}6& 9& \end{array}\\ & & & & & & & & & \\ & & & & & & & & & \end{array}$

Key$:3\left|5\right|0$  : Represents $53$ passengers on $A$ and $50$ passengers on $Z$
The cost of a trip on ferry $A$ is $\$12.50$ and the cost of a trip on ferry $Z$ is $\$x.$ The takings on ferry $Z$ were $\$3.30$ less than the takings on ferry A over this period. Find the value of $x.$

Over a $14$-day period, data were collected on the number of passengers travelling on two ferries, $A$ and $Z.$ The results are presented to the right.
$\begin{array}{rrrrrrrrrr}\begin{array}{}\end{array}& & A& & Z& & & & & \\ 8& 7& 6& \mathbf{2}& & & & & & \\ 7& 6& 4& \mathbf{0}& 3& 0& 5& 8& & \\ 8& 6& 5& \mathbf{3}& 4& 3& 4& 5& 7& 7\\ 5& 3& 3& \mathbf{5}& 0& 2& 6& 6& 9& \end{array}$

Key$:3\left|5\right|0$ :  Represents $53$ passengers on $A$ and $50$ passengers on $Z$

How many more passengers travelled on ferry $Z$ than on ferry $A?$

$\overline{)\begin{array}{c}1\\ 2\\ 3\end{array}}\begin{array}{cccccccc}0& 8& 8& 8& 8& 9& 9& \\ 0& 5& 6& 6& 7& 7& 8& 9\\ 0& 1& 1& 2& 9& & & \end{array} \begin{array}{c}\mathrm{Key} : \overline{)1} 0\\ \mathrm{represents} 10\\ \mathrm{employees}\end{array}$

This stem-and-leaf diagram shows the number of employees at $20$ companies.

Find out which of the three rows in the stem-and-leaf diagram contains the smallest number of employees.

Determine which of the three rows in the stem-and-leaf diagram contains the smallest number of companies.

This stem-and-leaf diagram shows the number of employees at $20$ companies.
$\overline{)\begin{array}{c}1\\ 2\\ 3\end{array}}\begin{array}{cccccccc}0& 8& 8& 8& 8& 9& 9& \\ 0& 5& 6& 6& 7& 7& 8& 9\\ 0& 1& 1& 2& 9& & & \end{array} \begin{array}{c}\mathrm{Key} : \overline{)1} 0\\ \mathrm{represents} 10\\ \mathrm{employees}\end{array}$

This stem-and-leaf diagram shows the number of employees at $20$ companies.
$\overline{)\begin{array}{c}1\\ 2\\ 3\end{array}}\begin{array}{cccccccc}0& 8& 8& 8& 8& 9& 9& \\ 0& 5& 6& 6& 7& 7& 8& 9\\ 0& 1& 1& 2& 9& & & \end{array} \begin{array}{c}\mathrm{Key} : \overline{)1} 0\\ \mathrm{represents} 10\\ \mathrm{employees}\end{array}$
What percentage of the companies have more than $30$ employees?

This stem-and-leaf diagram shows the number of employees at $20$ companies.
$\overline{)\begin{array}{c}1\\ 2\\ 3\end{array}}\begin{array}{cccccccc}0& 8& 8& 8& 8& 9& 9& \\ 0& 5& 6& 6& 7& 7& 8& 9\\ 0& 1& 1& 2& 9& & & \end{array} \begin{array}{c}\mathrm{Key} : \overline{)1} 0\\ \mathrm{represents} 10\\ \mathrm{employees}\end{array}$
Find out how many of the companies have fewer than $25$ employees?

This stem-and-leaf diagram shows the number of employees at $20$ companies.
$\overline{)\begin{array}{c}1\\ 2\\ 3\end{array}}\begin{array}{cccccccc}0& 8& 8& 8& 8& 9& 9& \\ 0& 5& 6& 6& 7& 7& 8& 9\\ 0& 1& 1& 2& 9& & & \end{array} \begin{array}{c}\mathrm{Key} : \overline{)1} 0\\ \mathrm{represents} 10\\ \mathrm{employees}\end{array}$
Find out the most common number of employees?

Represent the following information in a stem-and-leaf diagram.

A shopkeeper takes $12$ bags of coins to the bank. The bags contain the following numbers of coins:
$150, 163, 158, 165, 172, 152, 160, 170, 156, 162, 159$ and $175$

Construct a stem-and-leaf diagram for these data and include a key.

Twenty people leaving a cinema are each asked, "How many times have you attended the cinema in the past year ?" Their responses are:
$6, 2, 13, 1, 4, 8, 11, 3, 4, 16, 7, 20, 13, 5, 15, 3, 12, 9, 26$ and $10.$

Determine the sum of the values of mode and the range for the given stem and leaf plot given below:

Determine the median for the given stem and leaf plot given below:

Determine the mean for the given stem and leaf plot given below: