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.

In nine observations the fifth observation 7 is the middle most value.

∴ Median = 7

(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:

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

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.

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

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.

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

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