RD SHARMA Solutions for Class 9 Maths Chapter 24 - Measures of Central Tendency
If you love numbers & have a deep interest in statistics, then Mathematics is probably one of the scoring subject ever. A Class 9th CBSE Mathematics is one of the challenging subject one can undergo as, it involves a lot of crunching of complex numbers, geometrical formulae, diagrams & much more. Hence, to simplify the mathematical complexity, TopperLearning has framed a customise solution that involves Test preparation notes, Textbook solutions, Videos, & several other study material that help the student to memorise the concepts quickly. We have bifurcated our CBSE Class 9 Study Material (Solution) into 3 Different parts namely:
- CBSE Class 9 Practice Test includes Revision notes, Question bank & Sample Paper
- TopperLearning Classroom that includes Videos, Ask the Experts & Preparation Tips
- Text Book Solutions, etc
TopperLearning packages involves all the ingredients of CBSE Class 9 Study Material that includes Solved Question Papers, High Animated Videos, Solutions by SME (Subject Matter Expert), CBSE class 9 Preparation Tips, Update to CBSE 9th Mathematics syllabus, Practice books, Reference Materials, etc that help you to score great marks with glorious marks.
Getting a good score is now relatively easy if you prefer TopperLearning solutions for CBSE Class 9th Mathematics subject. By purchasing our package, you will be accessed to guaranteed success in your examination!
Chapter 24 - Measures of Central Tendency Exercise 24.21
Which one of the following is not a measure of central value?
Range is not a measure of central value.
The difference between the highest value and the lowest value in the data set is called Range.
Hence, correct option is (b).
Chapter 24 - Measures of Central Tendency Exercise 24.22
The mean of a set of seven numbers is 81. If one of the numbers is discarded, the mean of the remaining numbers is 78. The value of discarded number is
For which set of numbers do the mean, median and mode all have the same value?
(a) 2, 2, 2, 2, 4
(b) 1, 3, 3, 3, 5
(c) 1, 1, 2, 5, 6
(d) 1, 1, 1, 2, 5
|2, 2, 2, 2, 4||12/5 = 2.4||2||2|
|1, 3, 3, 3, 5||15/5 = 3||3||3|
|1, 1, 2, 5, 6||15/5 = 3||2||1|
|1, 1, 1, 2, 5||10/5 = 2||1||1|
From above table, data 1, 3, 3, 3, 5 has mean, median, mode all have same value, i.e. 3.
Hence, correct option is (b).
For the set of numbers 2, 2, 4, 5 and 12, which of the following statements is true?
(a) Mean = Median
(b) Mean > Mode
(c) Mean < Mode
(d) Mode = Median
If the arithmetic mean of 7, 5, 13, x and 9 is 10, then the value of x is
If the mean of five observations x, x + 2, x + 4, x + 6, x + 8, is 11, then the mean of first three observations is
(d) none of these
(a) least frequent value
(b) middle most value
(c) most frequent value
(d) none of these
Most Frequent value is called mode.
Hence, correct option is (c).
The following is the data of wages per day: 5, 4, 7, 5, 8, 8, 8, 5, 7, 9, 5, 7, 9, 10, 8
The mode of the data is
The median of the following data: 0, 2, 2, 2, -3, 5, -1, 5, 5, -3, 6, 6, 5, 6 is
The algebraic sum of the deviations of a set of n values from their mean is
(b) n - 1
(d) n + 1
A, B, C are three sets of values of x:
A: 2, 3, 7, 1, 3, 2, 3
B: 7, 5, 9, 12, 5, 3, 8
C: 4, 4, 11, 7, 2, 3, 4
Which one of the following statements is correct?
(a) Mean of A = Mode of C
(b) Mean of C = Median of B
(c) Median of B = Mode of A
(d) Mean, Median and Mode of A are equal.
The empirical relation between mean, mode and median is
(a) Mode = 3 Median - 2 Mean
(b) Mode = 2 Median - 3 Mean
(c) Median = 3 Mode - 2 Mean
(d) Mean = 3 Median - 2 Mode
The empirical Relation between mean, median and mode is
Mode = 3 Median - 2 mean
Hence, correct option is (a).
The mean of a, b, c, d and e is 28. If the mean of a, c, and e is 24, what is the mean of b and d?
Chapter 24 - Measures of Central Tendency Exercise Ex. 24.1
The numbers of children in 10 families of a locality are:
2, 4, 3, 4, 2, 0, 3, 5, 1, 1, 5. Find the mean number of children per family.
The traffic police recorded the speed (in km/hr) of 10 motorists as 47, 53, 49, 60, 39, 42, 55, 57, 52, 48. Later on an error in recording instrument was found. Find the correct average speed of the motorists if the instrument recorded 5 km/hr less in each case.
If M is the mean of x1, x2, x3, x4, x5 and x6 , prove that
(x1 - M) + (x2 - M) + (x3 -M) + (x4 - M) + (x5 - M) + (x6 - M) = 0
Chapter 24 - Measures of Central Tendency Exercise Ex. 24.2
Five coins were simultaneously tossed 1000 times and at each toss the number of heads were observed. The number of tosses during which 0, 1, 2, 3, 4 and 5 heads were obtained are shown in the table below. Find the mean number of heads per toss.
|No. of heads per toss||No. of tosses|
|N = 120|
Chapter 24 - Measures of Central Tendency Exercise Ex. 24.3
29, 32, 48, 50, x, x + 2, 72, 78, 84, 95
Chapter 24 - Measures of Central Tendency Exercise Ex. 24.4
The demand of different sizes, as obtained by a survey, is given below:
|Number of persons (wearing it):||26||39||20||15||13||7||5||125|
Find the modal shirt size, as observed from the survey.
CBSE Class 9 Maths Homework Help
Clear all your doubts instantly at our “Ask Doubt” section. Get expert help and guidance at your comfort. To know the syllabus in detail, click here.
NCERT Textbooks are the rich stimulant for those students who want to score better in the CBSE examinations. By solving our papers the students have achieved a better and higher result. One of the primary objectives of creating ncert solution for class 9 is that the student gets access to an easy solution; which acts as a strong catalyst in improving the marks. We usually focus that the students don’t find any difficulty in understanding the concepts and can memorize them easily.
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Verify mobile number
Enter the OTP sent to your number