Data Handling

The class mark of the interval $90 - 110$ is:

Find the range of the first five odd natural numbers ($1, 3, 5, 7, 9$).

The class size of the interval $20 - 60$ is:

The class mark of the class $11 - 13$ is:

If the total frequency of a distribution is $N$, then the sum of all relative frequencies is always:

In an inclusive distribution, if classes are $5-9, 10-14, 15-19$, find the mid-value of the second class.

If the range of the set $\{10.2, 13.5, 9.8, 15.1, x\}$ is $6.5$ and $x$ is the maximum value, find $x$.

If the total frequency is $200$, and the 'more than' cumulative frequency of the last class is $15$, what is the actual frequency of the last class?

A distribution has class marks $12, 18, 24, 30$. Find the ratio of the lower limit of the $4^{th}$ class to the upper limit of the $1^{st}$ class.

If the upper limit of a class is $60$ and the class mark is $52.5$, the class width is:

Identify the upper limit of the class interval $35-45$.

Which of the following is used to represent grouped frequency data where intervals are continuous?

In a bar graph, if the scale on the y-axis is $1$ cm = $100$ units, what height will represent $450$ units?

What is the range of the following data set: $12, 25, 15, 30, 8, 42, 21$?

The following histogram represents the weights (in kg) of 30 students in a class. What is the frequency of the class interval representing students weighing more than $50\text{ kg}$ but less than or equal to $60\text{ kg}$?

In a double bar graph comparing rainfall in two cities, City A's bar is $10$ cm and City B's bar is $12$ cm. If $1$ cm represents $50$ mm of rain, what is the difference in rainfall between the two cities?

Which of the following values cannot be determined directly from a standard histogram without looking at the original raw data?

In a histogram, the frequencies of the classes 0-10, 10-20, 20-30 are in the ratio 2:3:5. If the total frequency is 200, find the difference between the height of the bar for 20-30 and the bar for 0-10, assuming a scale of 1 unit = 4 frequency points.

Consider a bar graph where the scale is 1 unit = 15 units of data. If the sum of the heights of 3 bars is 18 units, what is the average value of the data represented by these three bars?

A histogram shows the distribution of ages of residents in an apartment. The class 20-30 years has 40 people. If the bar for 30-50 years is the same height as the 20-30 bar, but twice as wide, how many people are in the 30-50 age group?

In a pie chart, the sector representing 'Vegetables' is twice as large as the sector for 'Fruits'. If the angle for 'Fruits' is $40^{\circ}$, what is the angle for 'Vegetables'?

A circle graph shows that $1/8$ of a farm is used for growing tomatoes. What is the central angle for the tomato sector?

The marks of a student in English are $80$ out of $400$. What will be the angle of the sector for English in a pie chart representing the total marks?

A pie chart for a day's schedule of a student shows $8$ hours for sleep. What is the central angle for the 'Sleep' sector?

A survey was conducted to find the favorite subjects of 180 students in a school. Based on the given pie chart, find the number of students who chose Mathematics as their favorite subject.

The following pie chart shows the monthly expenditure of a family on various items. If the family spends Rs 9000 on Food, find the total monthly expenditure of the family.

If the central angle for 'Saving' is $36^{\circ}$ and the total monthly income is Rs $20,000$, find the monthly saving.

A man's investment portfolio is shown. He invested Rs 50,000 in Mutual Funds, which is represented by a $100^{\circ}$ sector. If Gold is represented by a $36^{\circ}$ sector, what is the amount invested in Gold?

A village population consists of 40% men, 35% women, and the remaining are children. In a pie chart, what is the central angle for the 'Children' sector?

The following pie chart shows the marks obtained by a student in an exam. If the total marks are 540, and the angle for Mathematics is $90^{\circ}$, Science is $80^{\circ}$, and English is $70^{\circ}$, how many more marks were obtained in Mathematics than in English?

What is the set of all possible outcomes of an experiment called?

A number is chosen from $1$ to $30$. What is the probability that it is a multiple of $7$?

A spinner has $5$ equal sections colored Red, Blue, Green, Yellow, and Orange. What is the probability of NOT landing on Green?

A letter is chosen at random from the word $SUCCESS$. What is the probability that the letter is '$S$'?

A number is selected from $1$ to $10$. What is the probability that the number is NOT a prime number?

From a deck of $52$ cards, what is the probability of drawing a red non-face card?

A letter is selected at random from the word $CALCULATOR$. What is the probability that the letter is a consonant?

A number is chosen from the first $100$ natural numbers. What is the probability that the number is a power of $2$ ($2^k$ for $k \ge 0$)?

Two dice are thrown. What is the probability that both numbers appearing on the top are even but not identical?

A number is chosen at random from $1$ to $100$. What is the probability that the number is a multiple of $11$ or a perfect cube?