AP SSC 10th Class Maths Solutions Chapter 14 Statistics InText Questions

AP State Syllabus SSC 10th Class Maths Solutions 14th Lesson Statistics InText Questions

AP State Board Syllabus AP SSC 10th Class Maths Textbook Solutions Chapter 14 Statistics InText Questions and Answers.

10th Class Maths 14th Lesson Statistics InText Questions and Answers

Think & Discuss

(Page No. 327)

Question 1.
The mean value can be calculated from both ungrouped and grouped data. Which one do you think is more accurate? Why?
Answer:
Mean calculated from ungrouped data is more accurate than, mean calculated from the grouped data. Since its calculation takes all the observations in the data into consideration.

Question 2.
When it is more convenient to use grouped data for analysis?
Answer:
Grouped data is convenient when the values f_i and x_i are low.

(Page No. 331)

Question 3.
Is the result obtained by all the three methods the same?
Answer:
Yes. Mean obtained by all the three methods are equal.

Question 4.
If x_i and f_i are sufficiently small, then which method is an appropriate choice?
Answer:
Direct method.

Question 5.
If x_i and f_i are numerically large numbers, then which methods are appropriate to use?
Answer:
Assumed – Mean method and Step – Deviation method.

Do these

(Page No. 334)

Question 1.
Find the mode of the following data.
a) 5, 6, 9, 10, 6, 12, 3, 6, 11, 10, 4, 6, 7.
Answer:
Mode = 6 (most repeated value of the data).

b) 20, 3, 7, 13, 3, 4, 6, 7, 19, 15, 7, 18, 3.
Answer:
Mode = 3,7.

c) 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6.
Answer:
Mode = 2, 3, 4, 5, 6.

Question 2.
Is the mode always at the centre of the data?
Answer:
No. Mode may not beat the centre always.

Question 3.
Does the mode change, if another observation is added to the data in Example? Comment.
Answer:
In the example the observations are 0, 1, 2, 2, 2, 3, 3, 4, 5, 6.
Here mode = 2.
If we add ‘2’ then mode doesn’t change.
It we add ‘3’ then the mode will be ‘2’ and ‘3’.
Even if we add other then 3 the mode will not be changed.
So we cannot decide whether the mode changes or not. It depends on the situation.

Question 4.
If the maximum value of an observation in the data in Example 4 is changed to 8, would the mode of the data be affected? Comment.
Answer:
If the maximum value is altered to 8, the mode remains the same. Mode doesn’t consider the values but consider their frequencies only.

Think & Discuss

(Page No. 336)

Question 1.
It depends upon the demand of the situation whether we are interested in finding the average marks obtained by the students or the marks obtained by most of the students.
a) What do we find in the first situation?
Answer:
We find A.M.

b) What do we find in the second situation?
Answer:
We find the mode.

Question 2.
Can mode be calculated for grouped data with unequal class sizes?
Answer:
Yes. Mode can be calculated for grouped data with unequal class sizes.