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Very Short Answers Type Questions: Statistics Notes | Study Mathematics (Maths) Class 9 - Class 9

Document Description: Very Short Answers Type Questions: Statistics for Class 9 2022 is part of Mathematics (Maths) Class 9 preparation. The notes and questions for Very Short Answers Type Questions: Statistics have been prepared according to the Class 9 exam syllabus. Information about Very Short Answers Type Questions: Statistics covers topics like and Very Short Answers Type Questions: Statistics Example, for Class 9 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Very Short Answers Type Questions: Statistics.

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Question 1. The marks obtained by 17 students in a mathematics test (out of 100) are given below:
48, 66, 68, 49, 91, 72, 64, 46, 90, 79, 76, 82, 65, 96, 100, 82, 100
Find the range of the data.
Solution: 
Lowest observation = 46  
Highest observation = 100
∴ Range = 100 –46 = 54


Question 2. The class-mark of the class 130 – 150 is:
Solution: 
Class-mark =  ((130+150)/2)
 = (280/2)
  = 140
 

Question 3. The median of the following numbers arranged in descending order is 25. Find the value of
x: 40, 38, 35, 2x + 10, 2x + 1, 15, 11, 8, 5
Solution: 
Number of observations = 9

∴ The median is the  ((n+1)/2)th  term i.e. ((9+1)/2) th or the 5th term.
⇒ 2x + 1 = 25
⇒ x= (25-1)/2= 12


Question 4. If the mean of 6, x, 4, and 12 is 8, then find the value of x.
 Solution: 

Very Short Answers Type Questions: Statistics Notes | Study Mathematics (Maths) Class 9 - Class 9

 ∴       Very Short Answers Type Questions: Statistics Notes | Study Mathematics (Maths) Class 9 - Class 9 = 8 or 22 + x = 32
or  x = 32 – 22 = 10


Question 5. Find the range of the data 9, 7, 5, 7, 9, 9, 6, 18, 9 and 8.
Solution: 
Highest data = 18
Lowest data = 5
⇒ Range = 18 – 5 = 13


Question 6. Calculate the median of : 152, 155, 160, 144, 145, 148, 147, 149, 150
Solution
:  Writing the given data in ascending order, we get: 144, 145, 147, 148, 149,  150, 152, 155, 160
Here, n = 9

∴ Median = Very Short Answers Type Questions: Statistics Notes | Study Mathematics (Maths) Class 9 - Class 9  term = Very Short Answers Type Questions: Statistics Notes | Study Mathematics (Maths) Class 9 - Class 9 term = 5th term

⇒ Median = 149


Question 7. What is the median of 70, 40, 50, 100, 75, 75, 65 and 95?
Solution:
  In ascending order, the given data is:
40, 50, 65, 70, 75, 75, 95, 100
Here, n = 8 (Even number)

Very Short Answers Type Questions: Statistics Notes | Study Mathematics (Maths) Class 9 - Class 9

⇒ Median =   Very Short Answers Type Questions: Statistics Notes | Study Mathematics (Maths) Class 9 - Class 9

Very Short Answers Type Questions: Statistics Notes | Study Mathematics (Maths) Class 9 - Class 9

The document Very Short Answers Type Questions: Statistics Notes | Study Mathematics (Maths) Class 9 - Class 9 is a part of the Class 9 Course Mathematics (Maths) Class 9.
All you need of Class 9 at this link: Class 9

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