Daily Olympiad: Math - Data Handling [20260513]

Solution

Correct: B

Data is a collection of facts, figures, or information that can be processed, analyzed, or organized to draw conclusions. It is the raw material for statistical analysis.

Solution

Correct: D

In tally marks, a group of five is usually represented by four vertical lines crossed by a diagonal line (often written as '||||/' but for text clarity using '|||||' for five). To represent 7, we need one group of five and two additional vertical lines. So, '||||| ||' correctly represents 7.

Solution

Correct: B

Raw data refers to data that has been collected but has not yet been processed, analyzed, or organized in any way. A simple, unarranged list of individual observations, like the heights of students, is considered raw data. The other options are already processed or organized forms of data.

Solution

Correct: B

The mean is calculated by summing all the numbers in the data set and then dividing by the total count of numbers. Sum = 2 + 4 + 6 + 8 = 20. Total count of numbers = 4. Mean = Sum / Count = 20 / 4 = 5.

Solution

Correct: B

To find the median, first arrange the data in ascending (or descending) order. Ascending order: 1, 2, 5, 7, 9. The median is the middle value in an ordered data set. Since there are 5 values (an odd number), the median is the 3rd value, which is 5.

Solution

Correct: B

The mode is the value that appears most frequently in a data set. In the given data set (3, 5, 7, 5, 8, 5, 9), the number 5 appears three times, which is more often than any other number. Therefore, the mode is 5.

Solution

Correct: C

The range of a data set is the difference between the highest value and the lowest value. Highest value = 25. Lowest value = 5. Range = Highest value - Lowest value = 25 - 5 = 20.

Solution

Correct: C

To find the least favorite fruit, we need to look for the fruit with the lowest count (frequency). Apple: 12 students Banana: 8 students Orange: 5 students Grapes: 10 students Orange has the lowest count of 5, making it the least favorite among the options.

Solution

Correct: D

In a bar graph, the height of each bar corresponds to the quantity or frequency it represents. To find who read the most books, we look for the student with the highest number of books. Sara read 12 books, which is the highest number among all the students.

Solution

Correct: B

The height of a bar in a bar graph represents the frequency or value of the category it depicts. A taller bar for 'Blue' indicates that a higher number of people chose 'Blue' as their favorite color compared to 'Red'.

Solution

Correct: B

A double bar graph is used to compare two different sets of data for the same categories. For instance, it can compare performance in two different years or compare two different groups across various categories.

Solution

Correct: B

A standard six-sided die has faces numbered 1, 2, 3, 4, 5, 6. All possible outcomes when rolling this die are numbers less than 7. Therefore, getting a number less than 7 is an event that is certain to happen.

Solution

Correct: B

An impossible event is one that has no chance of occurring. If a bag contains only blue balls, it is physically impossible to pick a red ball from it. The other events have a possibility, even if it's small (like rain).

Solution

Correct: B

An array refers to a simple arrangement of raw data in either ascending or descending order of magnitude. This organization helps in finding the median and range easily. Tabulation is organizing into tables, Tally uses marks, and Grouping involves categorizing data into classes.

Solution

Correct: D

A pictograph uses symbols to represent data, where each symbol has a specified value. If one symbol represents 5 cars, then 3 symbols would represent 3 times that value. So, 3 symbols * 5 cars/symbol = 15 cars.