Grade 7 Statistics

Data: A collection of facts, figures, or information, often in the form of numbers. Data can be collected through observations, surveys, or measurements.

Example: The heights of students in a class, the number of cars passing a point in an hour, the favorite colors of your friends.

Statistics: The branch of mathematics that deals with collecting, organizing, analyzing, interpreting, and presenting data.

Purpose of Statistics: It helps us make sense of large amounts of data, identify patterns, and draw conclusions.

Frequency: The number of times a particular value or item appears in a data set.

Example: If the color 'Red' appears 5 times in a list of favorite colors, its frequency is 5.

Tally Marks: A way of keeping count of items in a data set. A vertical line represents one item, and every fifth item is represented by a diagonal line across the previous four lines.

Example: To show a frequency of 7, you would use one group of five tally marks and two individual tally marks: |||| | ||

Using Tally Marks: Go through the data set item by item, and for each item, add a tally mark next to its category.

Step 1: Identify the different values in the data set. The values are 0, 1, 2, and 3.

Step 2: Create a table with three columns: 'Number of Siblings', 'Tally Marks', and 'Frequency'.

Number of Siblings	Tally Marks	Frequency
0
1
2
3

Step 3: Go through the data set and put a tally mark for each number in the corresponding row.

Data: 2, 1, 3, 1, 0, 2, 1, 1, 3, 0, 2, 1, 2, 0, 1

Tallying: 0 (|||), 1 (|||| |), 2 (||||), 3 (||)

Step 4: Count the tally marks for each row and write the frequency in the 'Frequency' column.

Number of Siblings	Tally Marks	Frequency
0	|||	3
1	|||| |	6
2	||||	4
3	||	2

Step 5: The completed table shows the frequency distribution of the data.

Step 1: Draw the X-axis (Horizontal Axis) and the Y-axis (Vertical Axis).

Step 2: Label the X-axis. This axis usually represents the categories (in this case, 'Number of Siblings: 0, 1, 2, 3'). Leave some space between the bars.

Step 3: Label the Y-axis. This axis represents the frequency (in this case, 'Number of Students'). Choose an appropriate scale based on the frequencies (3, 6, 4, 2). A scale like 0, 1, 2, 3, 4, 5, 6 would be suitable.

Step 4: Draw bars for each category. For '0 Siblings', draw a bar up to the height of 3 on the Y-axis. For '1 Sibling', draw a bar up to 6, and so on. The bars in a simple bar graph do not touch each other.

Step 5: Give the graph a clear **Title**, such as "Number of Students by Number of Siblings".

Visualization: (A visual representation would appear here in a drawing tool or interactive element)