Quiz On Data Handling

Explanation
A pictograph is a type of graph that uses pictures or symbols to represent data. It is a visual representation of information, where each picture or symbol represents a certain quantity or value. Pictographs are commonly used to display data in a way that is easy to understand and interpret. They are particularly useful when dealing with data that has distinct categories or when comparing different quantities. In a pictograph, the size or number of pictures/symbols represents the corresponding data value, making it a popular choice for presenting information in a visually appealing and accessible manner.

Explanation
Double bar graphs display two sets of data simultaneously. In a double bar graph, two sets of data are represented side by side using bars. This allows for easy comparison between the two sets of data, making it a useful tool for visualizing and analyzing data.

Explanation
A Frequency Distribution Table gives the number of times a particular entry occurs in a dataset. It organizes the data by listing all the unique values and their corresponding frequencies. This table is useful for summarizing and analyzing data, as it allows us to see the distribution and patterns within the dataset.

Explanation
In grouped data, the data is organized into different groups or intervals. Each of these groups is called a class interval. Class intervals help in organizing and summarizing the data, making it easier to analyze and interpret.

Explanation
The lower class limit is the smallest value in the class interval. In this case, the class interval is 20-30, so the lower class limit is 20.

Explanation
The difference between the upper class limit and lower class limit of a class interval is called the width. It represents the range or span of values within the class interval. For example, if the lower class limit is 10 and the upper class limit is 20, then the width of the class interval is 10. The width is an important measure in data analysis as it helps determine the size of each class interval and the overall distribution of the data.

Explanation
The width or size of the class interval 30-40 is 10. This is because the class interval is determined by subtracting the lower limit (30) from the upper limit (40), resulting in a difference of 10.

Explanation
When a coin is flipped in the air, there are two possible outcomes: either it lands on heads or tails. Since there are only two possible outcomes and they are equally likely, the probability of getting a tail is 0.50 or 50%.

Explanation
The bag contains a total of 8 balls, out of which 4 are red and 4 are green. When picking a ball randomly, there are 8 equally likely outcomes. Since there are 4 red balls, the probability of selecting a red ball is 4/8, which simplifies to 0.5.

Explanation
When a die is thrown in the air, it has six possible outcomes: 1, 2, 3, 4, 5, or 6. Out of these six outcomes, three are even numbers (2, 4, 6). Therefore, the probability of getting an even number is 3 out of 6, which can be simplified to 1 out of 2 or 0.5.

Explanation
A probability near 1 means that an event is highly likely to occur. It suggests that there is a high chance or a strong likelihood of the event happening.

Explanation
The probability of pulling a red marble from the bag is unlikely because there are only 3 red marbles out of a total of 9 marbles in the bag. This means that there are more non-red marbles than red marbles, making it less likely to pull a red marble.

Explanation
To change a decimal to a percent, you move the decimal point two places to the right and add a percent symbol. In this case, the decimal 0.528 becomes 52.8% when you move the decimal point two places to the right.

Explanation
The spinner has equal sections of different colors, including red. Since there are no indications that any color is more likely to land, the probability of spinning the spinner and having it land on red is 50%.

Explanation
The probability of rolling a cube and landing on an odd number is 3 out of 6, since there are 3 odd numbers (1, 3, 5) out of the 6 possible outcomes (1, 2, 3, 4, 5, 6). Simplifying 3/6 gives us 1/2, which is the probability of rolling a cube and landing on an odd number.

Explanation
The probability of rolling a cube and having it land as a six is 1/6 because there is only one face of the cube that has a six, and there are a total of six possible outcomes when rolling a standard six-sided cube. Therefore, the probability of landing on a six is 1 out of 6, or 1/6.

Explanation
The probability of it raining and the probability of it not raining must add up to 100%. Since the probability of it raining is given as 30%, the probability of it not raining would be 100% - 30% = 70%. Therefore, the correct answer is 70%.

Explanation
The probability can be expressed in different forms, such as decimal, fraction, and percentage. Decimal representation is commonly used when the probability is between 0 and 1, fraction representation is useful when the probability is a ratio of two numbers, and percentage representation is often used to express probabilities in terms of parts per hundred. Therefore, all of these options are correct ways to write probability.

Explanation
The probability of drawing a 10 from a standard deck of 52 cards is 4/52 because there are 4 cards with the value of 10 in a deck (10 of hearts, 10 of diamonds, 10 of clubs, and 10 of spades), and there are a total of 52 cards in the deck.

Explanation
The set of all possible outcomes in a given experiment or situation is referred to as the sample space. It represents the complete range of potential outcomes that can occur. Each outcome in the sample space is a distinct element, and together they form a comprehensive set of all possible results.

Explanation
The statement "Probability of any event is always more than 1" is incorrect. Probability is a measure of the likelihood of an event occurring, and it is always between 0 and 1. A probability of 0 means the event is impossible, while a probability of 1 means the event is certain to happen. Therefore, the correct answer is False.

Explanation
Histograms and histographs are not the same. A histogram is a graphical representation of the distribution of a dataset, where the data is divided into intervals and the height of each bar represents the frequency or relative frequency of data falling within that interval. On the other hand, a histograph is a bar graph that represents the frequency distribution of a dataset, where the height of each bar represents the frequency of data falling within a specific interval. Therefore, histograms and histographs have similar concepts but differ in terms of the specific way they represent the data.

Explanation
The probability of a certain event is always 1 because it is guaranteed to happen. In other words, there is no uncertainty or chance involved in the outcome of the event. Therefore, the statement "Probability of a Certain Event is 1" is true.

Explanation
A circle graph and a pie chart are two terms used interchangeably to refer to the same type of graph. This type of graph represents data in a circular format, where different sections of the circle represent different categories or values. The name "pie chart" comes from the resemblance of the graph to a pie that has been divided into slices. Therefore, the given statement is true, as both terms refer to the same type of graph.

Explanation
The statement is false because when two dice are rolled together, the sample space consists of all possible outcomes, which is the product of the number of outcomes for each individual die. Since each die has 6 possible outcomes, the sample space for rolling two dice together would have 6 x 6 = 36 events.

Explanation
The statement "Probability of a Likely Event is Less than 50%" is false. This is because the probability of a likely event is usually greater than 50%. In probability theory, the probability of an event is a measure of the likelihood that the event will occur. If an event is likely to occur, it means that there is a higher chance of it happening, and therefore the probability would be greater than 50%.

Explanation
The statement " (5,5) is a Duplet Event" is true. In statistics, a duplet event refers to an event where two identical outcomes occur simultaneously. In this case, the outcome is (5,5), which means that both variables have a value of 5. Therefore, it can be concluded that (5,5) is indeed a duplet event.

Explanation
The probability of getting an ace is 1/13 because in a standard deck of 52 playing cards, there are 4 aces (one for each suit: hearts, diamonds, clubs, and spades). Since there are a total of 52 cards and only 4 aces, the probability of drawing an ace is 4/52, which simplifies to 1/13. Therefore, the statement is true.

Explanation
The statement "Spades are Red Coloured Cards" is incorrect. In a standard deck of cards, spades are actually black in color. Therefore, the correct answer is False.

Explanation
The statement is false because there are actually 13 cards of Clubs in a standard deck of playing cards, not 26. Each suit (Clubs, Diamonds, Hearts, Spades) consists of 13 cards, including Ace, 2-10, Jack, Queen, and King. Therefore, the correct answer is false.