Indices 2 (Exercise)

Note: If you haven't read my post about how to solve indices, you should check it now!

Here are some exercise on indices. Try to solve them before checking the solutions! I wish you luck.

Exercise




Solution

INDICES

Indices are useful in simplifying large number. You need to understand the concept of statistics.

Objectives:

– To understand the terms: square number, cube number, square and cube root. 
– To learn and use square numbers up to 225.
– To know and be able to use the index laws. 
– To be able to add, subtract, multiply and divide negative numbers.
– To be able to use powers with negative numbers.

Indices Law



Example Question

Statistical Representation 2

Here are some exercise for the Statistical Representation. You should be able to do it now. Good luck!

Questions

1) A computer shop are selling gaming equipment. In 2010, they sold 56 keyboards for $31 each, 76 mouse for $42 each, 23 headset for $19 each and 29 mousepad for $10 each. Your tasks are to :-

1. Draw a Histogram to show the difference incomes they gained for each equipment.
2. Draw a Bar Graph the total amount of gaming equipment sold. 

2) 20 students from elementary school were asked for their favorite fruits. 6 Student answered strawberry, 4 students chose Melon, 1 student love Pineapple. Another 4 students chose Pear and the rest pick banana as their favorite. You are required to draw a Pie Chart and Histogram to show the difference amount votes for each fruits.

Solutions 

1)

1.
 
2.


2)

Statistical Representation

Statistical Representation is about statistics and representing something. Well in this case, it is representing data that has been summarized from large number of data. Basically graph, charts and plots mean essentially the same.  Each types of graph represent different data. Here are some types of the graph :-

1. Bar Graph
2. Histogram Graph
3. Pie Chart

Bar Graph

Bar graph is a graph that rectangular bars are needed to represent different values for comparing groups.

Steps to draw a bar graph 

1. Draw a x-axis and y-axis   -  (x-axis is the horizontal line and y-axis is the vertical line)
2. Label the x-axis and its title - The compared groups name (E.g. Cars company, months and mobile brands)
3. Label the y-axis and its title - Numbered value. It is best to number it by even numbers suitable for your amount data (E.g. 5, 10, 15, 20, 25, 30)
4. Draw your bars - Draw a rectangular bars to tell the amount of the compared groups

Example: In 2016, Nissan Motor Co., Ltd. sold 23 cars, Toyota Motor Corporation sold 45 cars, Honda Motor Co., Ltd. sold 18 cars and Hyundai Motor Company sold 27 cars. Draw a bar graph representing total amount of cars sold from each different company.

Histogram Graph

Histogram is a pretty much the same as the bar graph but there is no gap between the bar and it is used for distribution of data.

Example: In 2016, Nissan Motor Co., Ltd. sold 23 cars, Toyota Motor Corporation sold 45 cars, Honda Motor Co., Ltd. sold 18 cars and Hyundai Motor Company sold 27 cars. Draw a Histogram representing total amount of cars sold from each different company.

Pie Chart

Pie chart is a round chart divided into sectors. It is always measured in angle (Degree). The maximum angle is 360.

Example: In 2016, Nissan Motor Co., Ltd. sold 23 cars, Toyota Motor Corporation sold 45 cars, Honda Motor Co., Ltd. sold 18 cars and Hyundai Motor Company sold 27 cars. Draw a Pie Chart representing total amount of cars sold from each different company.