Different Types of Average

A bag contains $15$ potatoes which have a mean mass of $136 \mathrm{g}$. The farmer puts $3$ potatoes which have a mean of $130 \mathrm{g}$ into the bag. Calculate the mean mass of all the potatoes in the bag. 

Andrew and Barbara recorded the number of minutes that they watch the television for $8$ days.

Andrew: $38 10 65 43 125 225 128 40$

Barbara: $25 15 10 65 90 300 254 32$

Find the median number of minutes spent watching television for each of Andrew and Barbara.

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.

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:

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

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

The 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 median mass of the players?

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.

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

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

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.

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

Redraw the stem-and-leaf diagram to make an ordered data set.

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

For this distribution find the median.

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

For this distribution find the mode.

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

Find the mean.

A survey of the number of children in $100$ families gave the following distribution:

For this distribution find the mean.

A survey of the number of children in $100$ families gave the following distribution:

For this distribution find the median.

A survey of the number of children in $100$ families gave the following distribution:

For this distribution find the mode.

A man kept count of the number of letters he received each day over a period of $60$ days.The results are shown in the table below:

For this distribution find the range.

A man kept count of the number of letters he received each day over a period of $60$ days.The results are shown in the table below:

For this distribution find the mode.

A man kept count of the number of letters he received each day over a period of $60$ days.The results are shown in the table below:

For this distribution find the median.