**COLLECTING, ORGANIZING AND DISPLAYING DATA**

## Day 1 __OBTAINING INFORMATION FROM GRAPHS__

__OBTAINING INFORMATION FROM GRAPHS__

Graphs can be used to visually represent the relationship of data. It can help organize and show people statistics, which can be good for some and not so good for others, depending on what the statistics show. Organizing data graphically can come in handy in fields like business, sports, teaching, politics, advertising, etc.. We see graphs in the newspapers, magazines, and on television because they help us to communicate information. Many different types of graphs exist, and each has something different about it that makes it useful in a unique way. In this unit we will look at how information is collected, organized and displayed.

Today students reviewed the skill of interpreting information from graphs. They were provided with the following activity sheets to complete in class/home:

Today students reviewed the skill of interpreting information from graphs. They were provided with the following activity sheets to complete in class/home:

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Complete activity sheets pages 407-408 #1-10

Due: Tuesday, October 4th

Due: Tuesday, October 4th

**Day #2 **__ORGANIZING AND PRESENTING DATA__

__Reminders____Bar Graph __- used to compare data __Histogram__ - similar to bar graph, but have a range of data (bars touch each other) __Line Graph __- shows a trend/change over time (can be used to make a prediction) __Scatterplot __- considers relationship between two variables (not usually time) __Pictograph__ - representation of data using visual symbols __Circle Graph __- is used when considering parts of a whole quantities involving percents __Stem and Leaf Plot __- is used when considering a single variable

__ORGANIZING AND PRESENTING DATA__

__Reminders__

__Bar Graph__- used to compare data__Histogram__- similar to bar graph, but have a range of data (bars touch each other)__Line Graph__- shows a trend/change over time (can be used to make a prediction)__Scatterplot__- considers relationship between two variables (not usually time)__Pictograph__- representation of data using visual symbols__Circle Graph__- is used when considering parts of a whole quantities involving percents__Stem and Leaf Plot__- is used when considering a single variableYesterdays lesson focussed on reading information from graphs created by someone else. Today the students were asked to make decisions as to which graphing format is most effective to present certain types of data. They were also expected to use the information from their created graphs to solve problems.

The following weblink provides information about three common types of graphs : 1) pie/circle graph 2) bar graph

3) line graph

With so much data and so many options, the question becomes, "WHICH TYPE OF GRAPH SHOULD I USE TO DISPLAY MY DATA?". Here are a couple of helpful videos to help to decipher which graph is appropriate for different data sets:

The following weblink provides information about three common types of graphs : 1) pie/circle graph 2) bar graph

3) line graph

With so much data and so many options, the question becomes, "WHICH TYPE OF GRAPH SHOULD I USE TO DISPLAY MY DATA?". Here are a couple of helpful videos to help to decipher which graph is appropriate for different data sets:

## Day 3 __EXPLORING SAMPLE SIZE__

__EXPLORING SAMPLE SIZE__

Different methods can be used for data collection. One of the major considerations is deciding whether to use the entire population or a sample. When the sample is small, it is most efficient and effective to use the entire population. When the population is large or hard to access, a sample can be used. There is potential for biased results whenever data is collected and used, but this bias (the distortion of statistical findings from the true value) increases greatly if the sample chosen is not large enough or is not representative of the population.

Today students were introduced to the concepts of samples and representative samples when conducting a survey.

The students followed the activity on taking a survey, recording the results and making predictions. They used the following chart to input the results of each of the subsequent samples:

Today students were introduced to the concepts of samples and representative samples when conducting a survey.

**a survey of**__Reminders__

Census -**of the people within a population**__all__**Sample**- a survey of**of a population that is used to make predictions about the whole population**__part__**Representative Sample**- a survey from*of a population such that the*__part__*properties of the sample reasonably reflect the properties of the entire population*

The students followed the activity on taking a survey, recording the results and making predictions. They used the following chart to input the results of each of the subsequent samples:

As a followup, students were asked to complete the Reflection Questions #1-3 on page 97 of the textbook.

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## Day # 4 ** ****SCATTER PLOTS AND STEM AND LEAF PLOTS **

**Reminders** __Scatterplot__ shows relationship between two variables - a)
__Independent variable__ (variable not affected by the other) is plotted on the horizontal axis - b)
__Dependent variable__ (variable affected by the other) is plotted on the vertical axis - **When creating a scatter plot you must go up by a standard interval on both axes
__Stem and Leaf Plot __has a column of stems and leafs and is a compact way of writing a list of numbers - Try this short quiz on recoginizing how to read stem and leaf plots: http://bit.ly/p51dlj For more information on how to draw and interpret stem and leaf plots check out this weblink: http://bit.ly/qnt6kk
- For 94, 97 and 99 the stem is 9 and the leaves are 4, 7, 9

**SCATTER PLOTS AND STEM AND LEAF PLOTS**

**Reminders**

__Scatterplot__shows relationship between two variables__Independent variable__(variable not affected by the other) is plotted on the horizontal axis__Dependent variable__(variable affected by the other) is plotted on the vertical axis__Stem and Leaf Plot__has a column of stems and leafs and is a compact way of writing a list of numbersThe students were asked to complete an activity page on stem and leaf plots and the following questions from their textbooks: page 435-436 #1-6

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## Day 5 __MID-CHAPTER REVIEW__

__MID-CHAPTER REVIEW__

## Day 6 __HISTOGRAMS__

__HISTOGRAMS__

A histogram is a type of bar graph that shows how frequently data occurs within certain ranges or intervals. The height of each bar gives the frequency in the respective interval. Unlike a bar graph, the individual bars of a histogram touch each other and all of the bars are coloured the same hue.

Histograms show the frequency that data items occur within successive numerical intervals of equal size. In most histograms, the

Constructing a histogram involves grouping the data into categories or intervals based on the frequency of the individual values within the data. This organization process usually occurs within a

Histograms show the frequency that data items occur within successive numerical intervals of equal size. In most histograms, the

__independent variable__is plotted along the horizontal axis and the__dependent variable__is plotted along the vertical axis. The data appears as colored or shaded rectangles.Constructing a histogram involves grouping the data into categories or intervals based on the frequency of the individual values within the data. This organization process usually occurs within a

__frequency table__.## Day 7 **MEASURES OF CENTRAL TENDENCY**

The

The

The

Differences among the measures occur with

**arithmetic mean**is the most common measure of central tendency. It simply the sum of the numbers divided by the number of numbers.The

**median**is also a frequently used measure of central tendency. The median is the midpoint of a distribution: the same number of scores are above the median as below it. When there is an odd number of numbers, the median is simply the middle number. For example, the median of 2, 4, and 7 is 4. When there is an even number of numbers, the median is the mean of the two middle numbers.The

**mode**is the most frequently occuring value in a data set.Differences among the measures occur with

__skewed__distributions. Skewed results occur in a data set when distorted or biased numbers show up in the set that greatly impact the measures of centrally tendency. For example, if one student in the class receives a mark of 30% on a test, but most of the students receive a mark of 75%, the entire mean score of the test for the class will be skewed negatively. The same can happen in the opposite direction with a positive skew.## Day 8 ** COMMUNICATING ABOUT GRAPHS**

In this lesson, students will use the "Communication Checklist" to evaluate if the graphs they are looking at are appropriate for the information that is displayed; if the creator of the graph has made a convincing argument to support his/her conclusion; and to see if the sample size is truly representative of the population the graph intends to target or if there is some bias in the analysis.

__Communication Checklist__

- Did you check the scale?
- Did you include all of the data?
- Did you draw and label the graph correctly?

## Day 9 **CHAPTER REVIEW**

In preparation for Monday's unit test, the students will complete a review of the concepts we have covered.

**Day 10**

**UNIT TEST**