SCERT AP 7th Class Maths Solutions Pdf Chapter 6 Data Handling Ex 6.3 Textbook Exercise Questions and Answers.

AP State Syllabus 7th Class Maths Solutions 6th Lesson Data Handling Ex 6.3

Question 1.
Find the Median of the following:
(i) 7, 3, 15, 0, 1, 71, 19, 4, 17.
Answer:
Given data : 7, 3, 15. 0, 1, 71, 19, 4, 17.
Arrange the given observations in ascending order.
AP Board 7th Class Maths Solutions Chapter 6 Data Handling Ex 6.3 1
In nine observations the fifth observation 7 is the middle most value.
∴ Median = 7

AP Board 7th Class Maths Solutions Chapter 6 Data Handling Ex 6.3

(ii) 12, 23, 11, 18, 15, 20, 86, 27.
Answer:
Given data : 12, 23, 11, 18, 15, 20, 86, 27.
Arrange the given observations in ascending order:
AP Board 7th Class Maths Solutions Chapter 6 Data Handling Ex 6.3 2
In eight observations the 4th and 5th observations are 18 and 20.
Here, we have two middle most values 18 and 20.
Median = Average of the two middle most values.
= \(\frac{18+20}{2}\) = \(\frac{38}{2}\) = 19
∴ Median of the data = 19.

Question 2.
The number of pages in text books of different subjects are 421, 175, 128, 117, 150, 145, 147 and 113 find median of given data.
Answer:
Given data : 421, 175, 128, 117, 150, 145, 147, 113
Arrange the given observations in ascending order
AP Board 7th Class Maths Solutions Chapter 6 Data Handling Ex 6.3 3
In eight observations the 4th and 5th observations are 145 and 147.
Here, we have two middle most values 145 and 147.
Median = Average of the two middle most values
= \(\frac{145+147}{2}\) = \(\frac{292}{2}\) = 146
∴ Median of the data = 146.

Question 3.
The weekly sales of motor bikes in a showroom for the past 14 weeks are 10, 6, 8, 3, 5, 6, 4, 7, 12, 13, 16, 10, 4 and 7. Find the Median of the data.
Answer:
Given data: 10, 6, 8, 3, 5, 6, 4, 7, 12, 13, 16, 10, 4, 7
Arrange the given observations in ascending order.
AP Board 7th Class Maths Solutions Chapter 6 Data Handling Ex 6.3 4
In fourteen observations the 7th and 8th observations are 7 and 7.
Here we have two middle most values 7 and 7.
Median = Average of the two middle most values
= \(\frac{7+7}{2}\) = \(\frac{14}{2}\) = 7
∴ Median of the data = 7

AP Board 7th Class Maths Solutions Chapter 6 Data Handling Ex 6.3

Question 4.
Find the Median of 0.3, 0.25, 0.32, 0.147, 0.19, 0.2 and 7.1.
Answer:
Given data: 0.3, 0.25, 0.32, 0.147, 0.19, 0.2, 7.1.
Arrange the given observations in ascending order.
AP Board 7th Class Maths Solutions Chapter 6 Data Handling Ex 6.3 5
In seven observations the 4th observation 0.25 is the middle most value.
∴ Median. = 0.25

Question 5.
If the Median of observations 2x, 3x, 4x, 5x, 6x, (x > 0) is 28, then find the value of ‘x’.
Answer:
Given data : 2x, 3x, 4x, 5x, 6x and median is 28.
Data is arranged in the ascending order
AP Board 7th Class Maths Solutions Chapter 6 Data Handling Ex 6.3 6
In five observations the third observation 4x is the middle most value. .
∴ Median – 4x = 28
⇒ \(\frac{4 x}{4}\) = \(\frac{28}{4}\) = 7
∴ x = 7

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