# MAKING DOT PLOTS

dot plot is a visual representation of data using intervals or categories of variables; the dots represent an observation in the data.

The data distribution is a listing or function showing all the possible values (or intervals) of the data and how often they occur.

## Steps to Make Dot Plots

Step 1 :

Make a real number line according to the values given in the data.

Step 2 :

Draw a dot above the number line for each value given in the data.

For example, if there is a value "3" in the given data, make a dot above number "3" on the real number line.

## Examples

Example 1 :

A baseball team manager records the number of runs scored by the team in each game for several weeks.

1, 3, 1, 7, 2, 0, 11, 2, 2, 3, 1, 3, 4, 2, 2, 4, 5, 2, 6

(i)  Make a dot plot to know how the data is distributed.

Solution :

Step 1 :

Make a real number line.

In the given data, we have values range from from 0 to 11.

So we have to use a scale from 0 to 11.

Step 2 :

Draw a dot above the number line for each data value. (ii)  How many games did the team play during the season? How can you tell from looking at the dot plot?

Solution :

There are 19 dots in total above the numbers where each dot represents a game. So, So the team played 19 games during the season.

(iii)  At how many games did the team score 2 runs or fewer? How do you know?

Solution :

In 10 games the team scored 2 runs or fewer; I counted the number of dots for the values less than or equal to 2.

Example 2 :

A different baseball team scores the following numbers of runs in its games for several weeks:

4, 4, 6, 1, 2, 4, 1, 2, 5, 3, 3, 5, 4, 2

(i)  Make a dot plot to know how the data is distributed.

Solution :

Step 1 :

Make a real number line.

In the given data, we have values range from from 0 to 6.

So we have to use a scale from 0 to 6.

Step 2 :

Draw a dot above the number line for each data value. (ii)  Tell how many games the team played, and identify the data value with the greatest frequency.

Solution :

There are 14 dots in total above the numbers where each dot represents a game. So the team played 14 games.

And the value with the greatest frequency is 4. So there were 4 games in which the team scored 4 runs. Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

You can also visit the following web pages on different stuff in math.

WORD PROBLEMS

Word problems on simple equations

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6 