Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
What is Data: Data is a collection of information gathered by counting, measuring, or observing. It can be represented in the form of numbers, names, or symbols.
Recording Data using Tally Marks: Tally marks are a quick way of recording and counting data in groups of . We draw four vertical lines and the fifth line is drawn diagonally across the four lines to form a 'bundle'. Visually, is , is , is , is , and is represented by four vertical sticks with a cross-bar.
Data Tables: A table is an organized arrangement of data in rows and columns. It usually has a title and headings to show what information is being recorded. Visualizing a table is like looking at a grid where the first column lists items and the next columns show their counts or tallies.
Pictographs: A pictograph is a way of representing data using pictures or symbols. For example, if we are counting apples, we might use a small drawing of an apple to represent a certain quantity.
The Key in a Pictograph: The 'Key' is the most important part of a pictograph as it tells us the value of one symbol. For instance, the key might state that . If the key is not followed, the data will be read incorrectly.
Interpreting Data: This involves looking at the recorded data to answer questions like 'Which item is the most popular?' or 'How many more items are in group A than group B?'
Observation and Collection: Before recording, data must be collected. This can be done by looking at a picture, conducting a small survey among friends, or counting objects in a room.
📐Formulae
💡Examples
Problem 1:
In a class, students were asked about their favorite fruit. students chose Apple, students chose Mango, and students chose Banana. Represent this data using Tally Marks in a table.
Solution:
Step 1: Create a table with three columns: Fruit Name, Tally Marks, and Number of Students. Step 2: For Apple (), draw two bundles of and single lines: with a slash, with a slash, and . Step 3: For Mango (), draw one bundle of and single line: with a slash and . Step 4: For Banana (), draw one bundle of and single lines: with a slash and .
Explanation:
We group the counts into fives to make them easier to read. is , is , and is .
Problem 2:
A pictograph shows the number of cars sold by a showroom. The Key is: . If there are symbols next to 'Monday' and symbols next to 'Tuesday', how many total cars were sold on both days?
Solution:
Step 1: Calculate cars sold on Monday. . Step 2: Calculate cars sold on Tuesday. . Step 3: Find the total. .
Explanation:
To find the actual number of items in a pictograph, we multiply the number of symbols by the value given in the Key.