SaiBook.us SAT-2

Lesson Example Discussion Quiz: Class Homework

Example

Title: Pictographs, Frequent Tables, Histograms

Grade: 1400-a Lesson: S4-L8

Explanation: The best way to understand SAT-2 is by looking at some examples. Take turns and read each example for easy understanding.

Examples:

A person records the number of hours spent on different exercises in a week. The data is represented as follows:
Running: 15 hours
Yoga: 10 hours
Swimming: 5 hours
Cycling: 8 hours
Create a pictograph using a symbol where each symbol represents 2 hours.

Step 1a

Running - 🏃
Yoga - 🧘
Swimming - 🏊
Cycling - 🚴

Each symbol will represent 2 hours:
Running - 8 hours
Yoga - 5 hours
Swimming - 3 hours
Cycling - 4 hours

Explanation: Here, we select a symbol to represent the quantity for each exercise and each symbol represents 2 hours.

Step 1b

$1b$

Explanation: Therefore, after allocating 2 hours to each activity, the total time will be 8 hours for running, 5 hours for Yoga, 3 hours for Swimming, and 4 hours for Cycling.

A survey of 20 people on their favorite fruit resulted in the following data:
Apple, Banana, Apple, Orange, Banana, Apple, Grape, Banana, Orange, Apple, Grape, Apple, Banana, Orange, Apple, Grape, Apple, Orange, Banana, and Grape.
Create a frequency table for the favorite fruits.

Step 2a

Apple - 7
Banana - 5
Orange - 4
Grape - 4

Explanation: Here, we count the frequency of each fruit.

Step 2b

$2b$

Explanation: Therefore, after organizing the data into frequency tables, the counts are as follows: 7 Apples, 5 Bananas, 4 Oranges, and 4 Grapes.

The following table represents the exam scores (out of 100) of 30 students in a class:

$3$

Create a histogram to represent the frequency distribution of the exam scores.

Step 3a

X-axis = Score range, Y-axis = Frequency
Drawbars for each score range, with the height of each bar corresponding to the frequency.

Explanation: Here, we draw the x-axis, and y-axis and drawbars to represent scores based on their frequency.

Step 3b

$3b$

Explanation: Therefore, the histogram provides a visual representation of the distribution of scores, making it easy to see which score ranges are most and least common in the class.