Class 9 Exam  >  Class 9 Notes  >  Mathematics (Maths) Class 9  >  Very Short Answers Type Questions: Statistics

Class 10 Maths Chapter 13 Question Answers - Statistics

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: 

Class 10 Maths Chapter 13 Question Answers - Statistics

 ∴       Class 10 Maths Chapter 13 Question Answers - Statistics = 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 = Class 10 Maths Chapter 13 Question Answers - Statistics  term = Class 10 Maths Chapter 13 Question Answers - Statistics 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)

Class 10 Maths Chapter 13 Question Answers - Statistics

⇒ Median =   Class 10 Maths Chapter 13 Question Answers - Statistics

Class 10 Maths Chapter 13 Question Answers - Statistics

The document Class 10 Maths Chapter 13 Question Answers - Statistics is a part of the Class 9 Course Mathematics (Maths) Class 9.
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FAQs on Class 10 Maths Chapter 13 Question Answers - Statistics

1. What is statistics?
Ans. Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data.
2. What are the two main types of statistics?
Ans. The two main types of statistics are descriptive statistics and inferential statistics. Descriptive statistics summarizes and describes the main features of a dataset, while inferential statistics makes inferences and predictions about a population based on a sample.
3. What is the difference between mean and median?
Ans. The mean is the average of a set of numbers, calculated by summing all the values and dividing by the number of values. The median is the middle value in a dataset when the values are arranged in ascending or descending order. Unlike the mean, the median is not affected by extreme values in the dataset.
4. What is a normal distribution?
Ans. A normal distribution is a symmetric probability distribution that follows the bell-shaped curve. It is characterized by its mean and standard deviation. Many natural phenomena, such as heights and weights of individuals, tend to follow a normal distribution.
5. What is a sample and a population?
Ans. In statistics, a sample is a subset of individuals or objects taken from a larger group called the population. The sample is used to make inferences and draw conclusions about the population. The population includes all possible individuals or objects of interest in a study.
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