# INTERPRETING A DOT PLOT

A dot plot can give you a visual picture of the spread, center, and shape of a data distribution.

You can describe the spread of a data set by identifying the least and greatest values. You can also look for outliers which are data values that are either much greater or much less than the other data values.

You can describe the center and shape of a data set in terms of peaks, clusters, or symmetry. A symmetric distribution has approximately the same number of data values on either side of the center.

Example 1 :

Describe the spread, center, and shape of the dot plot given below.

Solution :

The data values are spread out from 3 to 7 with no outliers.

The data has a cluster from 3 to 7 with one peak at 5, which is the center of the distribution.

The distribution is symmetric. The data values are clustered around the center of the distribution.

Example 2 :

Describe the spread, center, and shape of the dot plot given below.

Solution :

The data values are spread out from 1 to 9. The data value 1 appears to be an out lier.

The data has a cluster from 6 to 9 with one peak at 9, which is the greatest value in the data set.

The distribution is not symmetric. The data values are clustered at one end of the distribution.

Example 3 :

Describe the spread, center, and shape of the dot plot given below.

Solution :

The data values are spread out from 0 to 11. The data value 11 appears to be an out lier.

The data has a cluster from 0 to 7 with one peak at 2, which is the greatest value in the data set.

The distribution is not symmetric. The data values are clustered at one end of the distribution.

Example 4 :

Describe the spread, center, and shape of the dot plot given below.

Solution :

Solution :

The data values are spread out from 0 to 11 with no outliers.

The data has a cluster from 0 to 11 with one peak at 5, which is the center of the distribution.

The distribution is symmetric. The data values are clustered around the center of the distribution.

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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

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Word problems on types of angles

Complementary and supplementary angles word problems

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Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

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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