Today’s Lesson:

What: analyzing graphs and histograms

Why: To review and analyze the circle graph, line plot, stem-and-leaf plot, and frequency table; and to create and analyze histograms (emphasis on histograms).

Vocabulary:

Circle Graph-- used to show parts out of a larger ___________________ . The entire circle represents 100%.Line Plot– used to show _______________________ of data along a number line. Stem-and-Leaf Plot– used to organize data by ______________________________. The stem represents the greatest place value digits, and the leaves represent the ____________________ place value digits. Frequency Table– used to organize intervals of numerical data according to how often each interval ________________________ (frequency).Histogram-- uses bars to represent equal ____________________ of numerical data. Each bar represents an interval. Bars in a histogram MUST _________________ !

wholefrequency

place valuesmallest

occursintervals

TOUCH

Examples: 1. CIRCLE GRAPH:

ANALYZE THE GRAPH:1.What category represents the smallest part of the Milton’s family budget?2.What category represents the largest part of the Milton’s family budget?3. Using this graph, is it possible to know the specific amount of money spent on food each month?4.Using this graph, is it possible to calculate the mean amount of money spent each day?

Savings (6%)Food (33%)No

No

2. STEM-AND-LEAF PLOT:

ANALYZE THE GRAPH:1.How many total temperatures were recorded in this plot?2.How many temperatures were between 70-79 degrees?3.What is the mode of the data?4.What is the range of the data?5.Is it possible to calculate the mean of the data?

9 3

63 degrees 38 degrees

yes

3. LINE-PLOT:

ANALYZE THE GRAPH:1.How many students are represented in this line plot?2.What is the mode of the data?3.What is the range of the quiz scores?4.Is it possible to calculate the mean of the data?5.Is there an outlier in the data? If so, what?

27 students 7 7

yes Yes. The outlier is “3.”

histograms:

Again, a histogram is a type of bar graph– except that the bars show equal ______________ of numerical data. The height of each bar represents the _____________________, while the width of each bar represents how big each interval is. We often use a frequency table of data in order to create a histogram.

intervals frequency

Height Of trees

(ft.)

Tally Frequency

60-6465-6970-7475-7980-8485-89

Create a histogram from a frequency table:The below frequency table is using intervals of _______________________. Fill-in the frequency column and create the histogram. REMEMBER, the bars must ______________________________!!five

TOUCH 3 3 8 10 5 2

Fill-in a frequency table from a histogram:The below histogram is using intervals of ___________________ . Use the height of the bars to fill-in the missing information in the frequency table.score Tally Frequency

20-2930-3940-4950-5960-6970-7980-8990-99(plus 100%)

ten

1 2 1269135

# of Pets Tally Frequency

0-23-56-8

9-1112 and above

Create a histogram from our class data!!Let’s survey the students in our class to see how many pets we own! We will record our data in the below frequency table. Then, we will create a histogram from the data.

ANALYZE THE GRAPH:1. What are the intervals being used in this graph?2. How many students scored below an 80%?3. How many students scored an 80% or above?4. What conclusion(s) can be drawn about the overall performance of the class on this particular quiz/test?

intervals of 101119

Overall, the class performed well. The majority scored a B or higher, while only 3 scored below a C.

END OF LESSON

The next slides are student copies of the notes for this lesson. These notes were

handed out in class and filled-in as the lesson progressed.

NOTE: The last slide(s) in any lesson slideshow (entitled “Practice Work”)

represent the homework assigned for that day.

Vocabulary:

Circle Graph-- used to show parts out of a larger ___________________ . The entire circle represents 100%.Line Plot– used to show _______________________ of data along a number line. Stem-and-Leaf Plot– used to organize data by ______________________________. The stem represents the greatest place value digits, and the leaves represent the ____________________ place value digits. Frequency Table– used to organize intervals of numerical data according to how often each interval ________________________ (frequency).Histogram-- uses bars to represent equal ____________________ of numerical data. Each bar represents an interval. Bars in a histogram MUST _________________ !Examples:

Math-7 NOTESDATE: ______/_______/_______What: analyzing graphs and histograms

Why: To review and analyze the circle graph, line plot, stem-and-leaf plot, and frequency table; and to create and analyze histograms (emphasis on histograms).

NAME:_________________________________________________________________________________

1. CIRCLE GRAPH: ANALYZE THE GRAPH:1. What category represents the smallest part of the Milton’s family budget?2. What category represents the largest part of the Milton’s family budget?3. Using this graph, is it possible to know the specific amount of money spent on food each month?4. Using this graph, is it possible to calculate the mean amount of money spent each day?

2. STEM-AND-LEAF PLOT: ANALYZE THE GRAPH:1. How many total temperatures were recorded in this plot?2. How many temperatures were between 70-79 degrees?3. What is the mode of the data?4. What is the range of the data?5. Is it possible to calculate the mean of the data?

3. LINE-PLOT: ANALYZE THE GRAPH:1. How many students are represented in this line plot?2. What is the mode of the data?3. What is the range of the quiz scores?4. Is it possible to calculate the mean of the data?5. Is there an outlier in the data? If so, what?

histograms:

Again, a histogram is a type of bar graph– except that the bars show equal ______________ of numerical data. The height of each bar represents the _____________________, while the width of each bar represents how big each interval is. We often use a frequency table of data in order to create a histogram.

score Tally Frequency

20-2930-3940-4950-5960-6970-7980-8990-99(plus 100%)

Height Of trees

(ft.)

Tally Frequency

60-6465-6970-7475-7980-8485-89

Create a histogram from a frequency table:

The below frequency table is using intervals of _______________________. Fill-in the frequency column and create the histogram. REMEMBER, the bars must ______________________________!!

Fill-in a frequency table from a histogram:

The below histogram is using intervals of ___________________ . Use the height of the bars to fill-in the missing information in the frequency table.

ANALYZE THE GRAPH:1. What are the intervals being used in this graph?2. How many students scored below an 80%?3. How many students scored an 80% or above?4. What conclusion(s) can be drawn about the overall performance of the class on this particular quiz/test?

# of Pets

Tally Frequency

0-23-56-8

9-1112 and above

Create a histogram from our class data!!Let’s survey the students in our class to see how many pets we own! We will record our data in the below frequency table. Then, we will create a histogram from the data.

Math-7 Practice/Homework“histograms”

DATE: ______/_______/_______NAME: _______________________________________________________________________________