All questions of Data Handling for Grade 7 Exam

• Frequency: The count of how many times a specific data point or value appears in a dataset. For example, if the number 5 appears 10 times in a dataset, the frequency of the number 5 is 10.
• Range: The difference between the highest and lowest values in a dataset. For example, if the highest value is 20 and the lowest is 5, the range is 20 - 5 = 15.
• Raw Data: The original, unprocessed data collected from observations or measurements before any analysis or summary is done.
• Interval: In statistics, intervals are ranges of values within which data points fall. For example, if data is grouped into intervals like 10-20, 21-30, etc., each interval represents a range of values.

Solution:

Total number of balls in the bag = 2 red + 3 blue + 5 black = 10 balls

Probability of getting a non-red ball = (number of non-red balls) / (total number of balls)

Number of non-red balls = 3 blue + 5 black = 8 balls

Therefore, probability of getting a non-red ball = 8/10 = 4/5

Hence, the correct option is A.

Write ans. is option 'a' because - : probability =no. of blue colour balls total no. of balls so we put and we got 3/10 i hope it is useful for you

Possible Outcomes of a Coin Toss

Explanation:
When a coin is thrown, it can either land on heads or tails. Each of these outcomes is equally likely, and there are no other possible outcomes. Therefore, the total number of possible outcomes when a coin is thrown is 2.

Answer:
The correct answer is option 'B', which states that the total number of possible outcomes of a coin toss is 2.

40

Ya

In this question it is clearly said that probability of non blue means instead of blue colour,
then p= no. of outcome/
total no. of outcome
= 7/10 ans

1. Add all the numbers: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55
2. Count the total number of numbers: There are 10 numbers.
3. Divide the sum by the total number of numbers: Arithmetic mean = 55 / 10 = 5.5

• First number: 1
• Last number: 10

Explanation:

When a die is thrown, it can land with any one of its six faces up. Therefore, the total number of possible outcomes is 6.

Answer:
Option b) 6

Areww isme explain kya krna look at the table ... and answer it.. 

Because. frequency is equal given in the graph

A
Just subtract

C

Problem:
There are 2 red, 3 blue, and 5 black balls in a bag. A ball is drawn from the bag without looking into the bag. What is the probability of getting a black ball?

Solution:
To find the probability of drawing a black ball, we need to calculate the number of favorable outcomes (drawing a black ball) and divide it by the number of possible outcomes (drawing any ball).

Step 1: Identify the Favorable Outcomes:
The favorable outcome in this case is drawing a black ball. There are 5 black balls in the bag.

Step 2: Identify the Possible Outcomes:
The possible outcomes are drawing any ball from the bag. Since there are 2 red, 3 blue, and 5 black balls in total, the number of possible outcomes is 2 + 3 + 5 = 10.

Step 3: Calculate the Probability:
The probability of an event is calculated by dividing the number of favorable outcomes by the number of possible outcomes.

Probability of drawing a black ball = (Number of favorable outcomes) / (Number of possible outcomes)
= 5 / 10
= 1/2

Therefore, the probability of drawing a black ball from the bag is 1/2 or 0.5.

Answer:
The correct answer is option C) 1/2.

275

Understanding the Median
The median is the middle value of a dataset when it is arranged in ascending order. If the dataset has an odd number of observations, the median is the value located at the center of the ordered list.
Step 1: Arrange the Data
First, we need to sort the given numbers:
- Original dataset: 9, 3, 4, 7, 5, 1, 8
- Sorted dataset: 1, 3, 4, 5, 7, 8, 9
Step 2: Identify the Median
Now, we can find the median:
- The sorted dataset has 7 numbers (an odd count).
- The median is the value at the (n + 1)/2 position, where n is the number of observations.
- For our dataset: (7 + 1)/2 = 4. This means the median is the 4th number in the sorted list.
Step 3: Locate the 4th Number
Looking at the sorted dataset:
- 1st: 1
- 2nd: 3
- 3rd: 4
- 4th: 5
The 4th number is 5.
Conclusion
Thus, the median of the distribution 9, 3, 4, 7, 5, 1, 8 is 5, confirming that the correct answer is option 'B'.

Understanding the Median
The median is the middle value in a set of numbers when they are arranged in ascending or descending order. To find the median, we first need to organize the heights of the mountains.
Step 1: Organize the Heights
- The mountain heights given are:
- 8200 m
- 6000 m
- 8600 m
- 7500 m
- 8800 m
- 6500 m
- Arranging in Ascending Order:
- 6000 m
- 6500 m
- 7500 m
- 8200 m
- 8600 m
- 8800 m
Step 2: Finding the Median
- Since there are six mountains (an even number), the median is found by taking the average of the two middle values in the ordered list.
- Middle Values:
- The third and fourth values in the ordered list are:
- 7500 m (3rd value)
- 8200 m (4th value)
- Calculating the Median:
- Median = (7500 m + 8200 m) / 2
- Median = 15700 m / 2
- Median = 7850 m
Conclusion
The median height of the mountains is 7850 m. Therefore, the correct answer is option 'A'.

D)

Because class interval 0 - 10 has only 1 frequency who is very lowest comparison to other class intervals given in the question
So your answer is option 'A'.

B) It occurs most frequently.

The mode is a measure of central tendency that represents the value or values that occur most frequently in a dataset. In other words, it is the value that appears with the highest frequency.

Explanation:

- The mode is the only measure of central tendency that focuses on the frequency of values rather than their magnitude. It is particularly useful when dealing with categorical or discrete data.

Example:
Let's consider the following dataset of exam scores: 75, 85, 90, 75, 80, 85, 75, 90, 85, 80.

To determine the mode, we need to identify the value(s) that occur most frequently. In this case, the value "75" appears three times, while all other values appear twice. Therefore, the mode of this dataset is 75.

- It is important to note that a dataset can have more than one mode if there are multiple values that occur with the same highest frequency. For example, if the dataset was: 75, 85, 90, 75, 80, 85, 75, 90, 80, 80, then both 75 and 80 would be modes since they both occur three times, while all other values occur twice.

- Unlike the mean and median, the mode can be applied to both numerical and categorical data. For example, in a dataset of favorite colors (e.g., red, blue, green, red, yellow, blue, blue), the mode would be "blue" since it occurs most frequently.

- The mode is not influenced by extreme values or outliers, making it a robust measure of central tendency. This means that even if there are values that occur significantly more or less frequently than others, they do not affect the mode.

- It is important to note that the mode is not always applicable or meaningful for every dataset. For example, in a dataset with no repeated values (e.g., 10, 20, 30, 40), there is no mode since no value occurs more frequently than others.

In conclusion, the mode is the measure of central tendency that represents the value or values that occur most frequently in a dataset, making option b) "It occurs most frequently" the correct statement about the mode.