Data Handling Questions

The data handling questions and answers are provided here for students to understand the concept better. Data handling is one of the most crucial topics, which is very helpful in our studies as well as in our real life. The data handling questions given here can be used by students of any class to get a fast overview of the topics. Practise the questions, and cross-verify your answer with the explanations provided here. To know more about data handling in statistics, click here.

Go through the below-provided data handling questions and answers and practise the questions to score good marks in the examination.

Data Handling Questions with Solutions

1. What are the different types of graphical representations?

Solution:

The different types of graphical representations are:

• Line graph
• Bar graph
• Pie chart
• Histogram
• Frequency table, and so on.

2. Is the bar graph can be drawn using vertical bars?

Solution:

Yes, the bar graph can be drawn using vertical bars as well as horizontal bars.

3. The representation of data through pictures is known as _____.

Solution:

Pictograph helps to represent the data through pictures.

4. The following pictograph shows the number of letters collected from a post box on each day of a particular week.

(Hint: Each letter symbol represents 10 letters)

On which day, the minimum number of letters were collected?

1. Tuesday
2. Thursday
3. Friday
4. Saturday

Solution:

Given that, each letter symbol represents 10 letters.

Hence, Monday = 70 letters

Tuesday = 50 letters

Wednesday = 40 letters

Thursday = 60 letters

Friday = 80 letters

Saturday = 30 letters

Therefore, the minimum number of letters were collected on Saturday.

Also, read: Pictograph.

5. If H represents 5 hens, then how many hens does HHHH represent?

Solution:

Given that, H = 5 Hens

Hence, HHHH = (5 + 5 + 5 + 5) hens

HHHH = 20 hens.

Therefore, HHHH represents 20 hens.

6. If each ⇑ symbol represents 15 houses, then ⇑⇑⇑⇑ represents how many houses?

Solution:

Given that, ⇑ = 15 houses

Hence, ⇑⇑⇑⇑ = (15 + 15 + 15 + 15 ) houses

⇑⇑⇑⇑ = 60 houses.

Therefore, ⇑⇑⇑⇑ represents 60 houses.

7. The following frequency distribution table shows the marks obtained by 45 students in the English subject (out of 50 marks).

Find out which two classes have the same frequency.

Solution:

From the given frequency table, two-class intervals have the same frequency (i.e., 6).

Therefore, the two-class intervals that have the same frequency are 10 – 20 and 40 – 50.

8. The bar graph shows the frequency of a, e, i, o, u in the piece of English writing.

1. Which letter has occurred the maximum number of times?
2. Which letter has occurred less than 30 times?
3. Write down the 5 letters in the decreasing order of frequency?

Solution:

From the bar graph, it is observed that,

1. The letter that has occurred the maximum number of times is “a”.
2. The letter that has occurred less than 30 times is “u”.
3. Five letters in the decreasing order of frequency are a, e, o, i, u.

9. Look at the below-given pictograph, answer the following questions:

1. Find out the number of persons employed in private service?
2. In which service, the maximum number of persons were employed?

Solution:

Given that, one symbol = 3000 persons.

(a) The number of persons employed in private service = 6 × 3000 = 18000 persons.

(b) The maximum number of persons were employed in government service.

I.e., 10 × 3000 = 30000 persons.

10. Draw the pie chart for the given observations, that shows the survey of different types of movies.

Solution:

From the given observation, total = 20.

Now, divide each value by 20 and multiply by 100 to get the percentage.

Action – (5/20)100 = 25%

Comedy – (4/20)100 = 20%

Romance = (6/20)100 = 30%

Sci-Fi = (4/20)100 = 20%

Drama = (1/20)100 = 5%

Now, we have to find the degree of each slice (sector).

Action – (5/20)360°= 90°

Comedy – (4/20)360°= 72°

Romance = (6/20)360°=108°

Sci-Fi = (4/20)360°= 72°

Drama = (1/20)360°= 18°

Hence, the pie chart for the obtained information is:

Practice Questions

1. If O represents the 20 eggs, then OOO represents how many eggs?
2. The following pictograph shows the amount of money saved by Ramya in a week.



How much money did Ramya save on Wednesday?

3. The daily earnings of 24 stores (in dollars) in a market was recorded as 715, 742, 650, 545, 685, 550, 700, 573, 610, 530, 680, 525, 736, 524, 585, 500, 545, 723, 532, 560, 625, 580, 645, 630. Create a frequency table taking equal class sizes.

(Note: One such class is 500-550, where 550 is not Included)

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