**Making dot plots :**

A 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.

**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.

**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.

After having gone through the stuff given above, we hope that the students would have understood "How to make dot plots".

Apart from the stuff given above, if you want to know more about "Making dot plots", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**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**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**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 **

**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 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**