RBSE Class 7 Maths Important Questions Chapter 3 Data Handling

Rajasthan Board RBSE Class 7 Maths Important Questions Chapter 3 Data Handling Important Questions and Answers.

RBSE Class 7 Maths Chapter 3 Important Questions Data Handling

Multiple Choice Questions

Question 1.
The mean of 6, 12, 15, 25, 30 and 35 is :
(a) 50.2
(b) 20.5
(c) 5.2
(d) 21.3
Answer:
(b) 20.5

Question 2.
11 numbers have a mean 32. The sum of 11 numbers is :
(a) 252
(b) 352
(c) 362
(d) 372
Answer:
(b) 352

Question 3.
The median of 3, 1, 5, 6, 3, 4 and 5 is :
(a) 4
(b) 5
(c) 6
(d) 7
Answer:
(a) 4

Question 4.
The mean of 1, 3, 7, 5, x is 4. What is xl
(a) 2
(b) 3
(c) 4
(d) 5
Answer:
(c) 4

Question 5.
A bag contains 2 red balls and 5 green balls. A ball is drawn from the bag without seeing. The chance of getting a yellow ball is :
(a) even chance
(b) good chance
(c) no chance
(d) poor chance
Answer:
(c) no chance

Question 6.
Today is Tuesday, what is the chance that tommorow will be a Wednesday?
(a) Poor chance
(b) Certain
(c) Even chance
(d) None of these
Answer:
(b) Certain

Question 7.
A coin is tossed two times, how many possible outcomes are there?
(a) 6
(b) 4
(c) 3
(d) 2
Answer:
(b) 4

Question 8.
Range of the data: 2.5, 0.4, 9.8, 10, 15.5, 6.4, 2.3, 18 is :
(a) 16.6
(b) 17.6
(c) 21.4
(d) 0.4
Answer:
(b) 17.6

Fill in the Blanks

Question 1.
The difference between the highest and lowest observation of a data is called ____________ .
Answer:
range

Question 2.
In a given data, arranged in ascending/ descending order, the middle most observation is called ____________ .
Answer:
Median

Question 3.
Mean, Median and Mode are the measures of ____________ .
Answer:
central tendency

Question 4.
When a dice is thrown, the probability of getting a number less than 7 is ____________ .
Answer:
1

Question 5.
Median is one of the observation in the data if number of observation is ____________ .
Answer:
odd

State Wheather True or False

Question 1.
If a dice is thrown, the probability of getting a number greater than 6 is 1.
Answer:
False

Question 2.
When a coin is tossed, there are 2 possible outcomes.
Answer:
True

Question 3.
Mean, Median and Mode may be the same for data.
Answer:
True

Question 4.
Mean can never be a fraction.
Answer:
False

Question 5.
Mean of the data is always from the given data.
Answer:
False

Very Short Answer Type Questions

Question 1.
Rajendra studies in 3 days for 5 hours, 3 hours and 4 hours. Find his mean study time.
Answer:
Mean = \(\frac{\text { Total time taken in study }}{\text { Number of days }}\)
= \(\frac{5+3+4}{3}\)
= \(\frac{12}{3}\) = 4 hours.

Question 2.
A cricketer scores the following runs in 6 innings:
36, 55, 60, 46, 50, 35
Answer:
Mean = \(\frac{\text { Total runs }}{\text { Number of innings }}\)
= \(\frac{36+55+60+46+50+35}{6}\) = \(\frac{282}{6}\) = 47

Short Answer Type Questions

Question 1.
The arithmetic mean of 5 numbers is 16. If one number is added to the collection, the new mean becomes 21. Find the value of the sixth number.
Answer:
Mean of 5 numbers = 16
∴ Sum of 5 numbers = 16 × 5 = 80
Mean of 6 numbers = 21
∴ Sum of 6 numbers = 21 × 6 = 126
Then, 6th number = 126 - 80 = 46.

Question 2.
In a survey of 200 girls, it was found that 85 like tea while 115 dislike it. Out of these girls, one girl chosen at random. What is the probability that the chosen girl
(i) likes tea? (ii) dislikes tea?
Answer:
We have,
Total number of girls = 200
Number of girls who like tea = 85
Number of girls who dislike tea = 200 - 85 = 115
(i) ∴ Probability that a chosen girl likes tea
= \(\frac{85}{200}\) = \(\frac{17}{40}\)
(ii) ∴ Probability that a chosen girl dislikes tea
= \(\frac{115}{200}\) = \(\frac{23}{40}\)