EnergeticTech

  Chance and Probability Probability Probability can simply be said to be the chance of something happening, or not happening. So the chance of an occurrence of a somewhat likely event is what we call probability. In the example given above the chance of rolling a six was one is six. That was its probability. Random Experiment A process which results in some well-defined outcome is known as an experiment. Here you rolling the dice was the random experiment, since the outcome was not sure. The outcome here is 1, 2, 3, 4, 5, or 6. It cannot be predicted in advance, making the rolling of dice a random experiment. Sample Space All possible outcomes or results of an experiment make up its sample space. So the sample space of the above example will be, S = { 1,,2,3,4,5,6}. Since a dice once thrown can give you only one of these six results. Event When a particular event occurs, like for example the dice lands on a six, we can say an event has occurred. So we can ...

  Histogram A histogram is what we call an area diagram. It indicates the frequency of a class interval. The class interval or the range of values is known as bins or classes with reference to histograms. A bar indicates the number of data points within a specific class. That means the higher the frequency of a particular class, higher the bar. Let us see an example of a Histogram. From the below-given table of the various heights of trees in a region, we will draw a histogram to illustrate how it is done. Let us look at the frequency table now. Height of Trees (ft) No. of trees 60-65 3 65-70 3 70-75 8 75-80 10 80-85 5 85-90 2 Now here the heights of the tree are continuous data. These class intervals are the bins. And the number of trees are obviously the frequency. And now let us draw a histogram (given below) that represents the above data. Histograms vs Bar Charts In bar graphs, each bar represents one value or category. On the other hand in a histogram...

 Bar Graph Definition bar graph A bar graph is a way to display data graphically by using rectangle bars. These bars are uniform in width but vary in height or length. Also, the length of each bar represents a value. In addition, the bars can be vertical or horizontal. Another name for vertical bars is columns. We use bar graphs to compare various items or choices. We also use them to show how something has changed over a period of time. They can also be used to show the frequency of certain data. Other names for bar graphs are bar charts or column graphs. Here is a situation where you could use a bar graph. Suppose you want to find out which chocolate, A, B or C your classmates prefer the most. And so, you ask them to write down their preference. Once you have all the data, you make a frequency table. After calculating the frequency of each choice, you plot a bar graph. With just one look at the bar graph, you can tell which is the most preferred chocolate. This is the essence of ...

 Pictographs A pictograph is the representation of data using images. Pictographs represent the frequency of data while using symbols or images that are relevant to the data. This is one of the simplest ways to represent statistical data. And reading a pictograph is made extremely easy as well. The best way to explain a pictograph is through an example. So let us get started. Browse more Topics under Data Handling Data and its Frequency Distribution Bar Graphs Histogram and Pie-Charts Chance and Probability Arithmetic Mean Median and Mode How to make a Pictograph Let us take an example. We must represent how many TV sets have been sold in the last few years via a pictograph. So we get started Collect Data: First step is obviously collecting the data of the category you want to represent. Collect your data by appropriate means. And then make a list or table of the data. And one time finally review the data. Pick your symbol: Pick a symbol or picture that accurately represents your d...

  Data Any bit of information that is expressed in a value or numerical number is data. For example, the marks you scored in your Math exam is data, and the number of cars that pass through a bridge in a day is also data. Data is basically a collection of information, measurements or observations. Raw data  is an initial collection of information. This information has not yet been organized. After the very first step of data collection, you will get raw data. For example, we go around and ask a group of five friends their favourite colour. The answers are Blue, Green, Blue, Red, and Red. This collection of information is the raw data. Then there is discrete data and continuous data.  Discrete data  is that which is recorded in whole numbers, like the number of children in a school or number of tigers in a zoo. It cannot be in decimals or fractions.  Continuous data  need not be in whole numbers, it can be in decimals. Examples are t...

  Data Handling ·          Data and its Frequency Distribution ·          Pictographs ·          Bar Graphs ·          Histogram and Pie-Charts ·          Chance and Probability ·          Arithmetic Mean ·          Median and Mode FAQs on Data Handling Question 1: What is meant by data? Answer:  Data refers to distinct pieces of information. Usually, the formatting of such information takes place in a special way. People also use the word data in reference to computer information. Strictly speaking, data happens to be the plural of the word datum, a single piece of information. Question 2: What are the various types of data? Answer:  A the highest level, the two types...

  1 ) Two masses of  4 0   k g  and  3 0   k g  are connected by a weightless string passing over a friction less pulley as shown in the figure. The acceleration of the system would be: Gravitation force on A,  F A ​ = m g sin 3 0 = 4 0 × 1 0 × 0 . 5 = 2 0 0 N Gravitation force on B,  F B ​ = M g sin 3 0 = 3 0 × 1 0 × 0 . 5 = 1 5 0 N F n e t ​ = F A ​ − F B ​ ⇒ ( M + m ) a = F A ​ − F B ​ ⇒ a = M + m F A ​ − F B ​ ​ = 4 0 + 3 0 2 0 0 − 1 5 0 ​ = 0 . 7 1 m s − 2 Hence, acceleration of the system is  0 . 7 1 m s − 2   Acceleration of the particle when its velocity becomes half of the initial velocity.  V = − ( 5 0 2 0 ​ ) x V = 5 − 2 x ​ a = d t d v ​ = 5 − 2 ​ d t d x ​ = 5 − 2 V ​ a = 5 − 2 V ​ initial velocity  ( u ) = 2 0 m / s 2 u ​ = 1 0 m / s a = 5 − 2 ​ ( 1 0 ) = − 4 m / s 2 . A model airplane with mass  0 . 7 5 0   k g  is tethered to the ground by a wire so that it flies in a horizontal circle  ...