Graph Frequency Distributions

Section 5 - 3Graph Frequency DistributionsGraph Frequency DistributionsWhy are graphs so important in math?

What would happen if we surveyed everyone in the school about the price of their car?

What would the data look like?

Would it be easy to understand?Graph Frequency DistributionsToday:

Create a frequency chartIncluding an interval frequency chart

Find the mean from a frequency chartGraph Frequency DistributionsYou want to purchase a car stereo. You find 33 ads for the stereo you want and arranged them ascending order:

$540$550$550$550$550$600$600$600$675$700$700$700$700$700$700$700$750$775$775$800$870$900$900$990$990$990 $990$990$990 $1,000$1,200$1,200$1,200

What is wrong with using this data?$540 $550 $550$550 $550 $600$600 $600 $675$700 $700 $700$700 $700 $700$700 $750 $775$775 $800 $870$900 $900 $990$990 $990 $990$990 $990 $1,000$1,200 $1,200 $1,200

PriceP($)Frequencyf$540$550$600$675$700$750$775$800$870$900$990$1,000$1,200How many car stereos are priced below $800?How many car stereos are priced below $600?How many car stereos are priced above $1,000?Graph Frequency DistributionsThe following data was collected on the weight of packages shipped by a manufacturing company.

131665454435224636495626682735154362325748234344306535

What is the major problem with creating a frequency graph for this data?How can this problem be resolved?Graph Frequency Distributions131665454435224636495626682735154362325748234344306535

WeightFrequency (f)Graph Frequency DistributionsCreate an interval frequency distribution chart containing the following data.

141955474439227135496422887816883729717462545918934974266675Graph Frequency Distributions$ AmountFrequency (f)10 19320 29430 39440 49850 59260 693Graph Frequency DistributionsYou are the manager of The Dress Code Boutique. From the following data representing the dollar sales of each transaction today, construct a frequency distribution using classes with an interval of $10.

141955474439227135496422887816883729717462545918934974266675Graph Frequency Distributions$ AmountFrequency (f)10 19420 29430 39340 49450 59360 69370 - 79680 - 89290 - 991Graph Frequency DistributionsFinding the mean from a frequency chart:

Multiply the price by the frequencyIf the chart is an interval chart, use the midpoint of the intervals

Find the sum of the products

Divide the sum by the total number of tallysPriceP($)Frequencyf$5401$5504$6003$6751$7007$7501$7752$8001$8701$9002$9906$1,0001$1,2003ProductP(f)$540$2,200$1,800$675$4,900$750$1,550$800$870$1,800$5,940$1,000$3,602) Find the sum of the products:= $26,4253) Divide this sum by the number of tallys$26,42533= $800.76Graph Frequency Distributions$ AmountFrequency10 19320 29430 39440 49850 59260 693How can we multiply the amount by the frequency? MidptProduct14.524.534.544.554.564.543.598138356109193.5Mean = 93824= 39.1Graph Frequency Distributions$ AmountFrequency10 19420 29430 39340 49450 59360 69370 - 79680 - 89290 - 991Mid ptProduct14.55824.59834.5103.544.517854.5163.564.5193.574.544784.516994.594.5Mean = $50.17Section 5 - 3Graph Frequency DistributionsGraph Frequency DistributionsBelow are prices you have found for different tints for your car. Put them in an interval frequency chart and find the mean price.

253427361943541826356350486852234552686158392735424719Graph Frequency Distributions$ AmountFrequency10 19320 29530 39540 49550 59560 694How can we multiply the amount by the frequency? MidptProduct14.524.534.544.554.564.543.5122.5172.5222.5272.5258Mean = 1091.527= $40.43Graph Frequency DistributionsYesterday:Create a frequency chartIncluding an interval frequency chartFind the mean from a frequency chart

Today:Read a stem & leaf plotGraph box & whisker plotsGraph Frequency Distributions1

2

30 5 7 8

4

8 91015171822243839Graph Frequency Distributions1 8 9 9 2 0 2 3 3 4 4 4 4 6 8 9 93 0 1 2 4 5 6 74 2 3

Find the mean, mode, and 4 quartiles from this data:Mean = 28Mode = 24

= 27= 23= 32.5= 43Graph Frequency DistributionsSteps to creating a box and whisker chart

Find the four quartiles

Draw a box from to

Draw a vertical line in the box at

Draw whiskers out to your lowest and highest data values

Graph Frequency Distributions

= 27= 23= 32.5= 43 272332.5 43 18Graph Frequency DistributionsYou are doing research on the number of gasoline price changes per year. You have collected the following data.

1 1 1 2 3 7 92 0 3 6 63 8 8 9 9 9 9 9 05 2 2 4 5 5 5 6 76 3 4 47 2

a) Put this data in a box and whisker graphb) Are there any outliers?Graph Frequency Distributions

= 39= 23= 55= 72 392355 72 11Lower Boundary:23 (1.5) (32)= -25Upper Boundary:55 + (1.5) (32)= 103IQR:55 23= 32Graph Frequency Distributions $7,000$5,200$9,100$15,000 $3,000What is the IQR?$9,100 - $5,200= $3,900Lower Boundary:$5,200 (1.5)(3,900)= - $650Upper Boundary:$9,100 + (1.5)(3,900)= $14,950

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