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![Samacheer Kalvi solutions for Mathematics [English] Class 9 TN Board chapter 8 - Statistics Samacheer Kalvi solutions for Mathematics [English] Class 9 TN Board chapter 8 - Statistics - Shaalaa.com](/images/mathematics-english-class-9-tn-board_6:5f2b1b2038084cf381bfa42c826a928c.jpg)
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Solutions for Chapter 8: Statistics
Below listed, you can find solutions for Chapter 8 of Tamil Nadu Board of Secondary Education Samacheer Kalvi for Mathematics [English] Class 9 TN Board.
Samacheer Kalvi solutions for Mathematics [English] Class 9 TN Board 8 Statistics Exercise 8.1 [Pages 277 - 278]
In a week, temperature of a certain place is measured during winter are as follows 26°C, 24°C, 28°C, 31°C, 30°C, 26°C, 24°C. Find the mean temperature of the week
The mean weight of 4 members of a family is 60 kg. Three of them have the weight 56 kg, 68 kg and 72 kg respectively. Find the weight of the fourth member
In a class test in mathematics, 10 students scored 75 marks, 12 students scored 60 marks, 8 students scored 40 marks and 3 students scored 30 marks. Find the mean of their score
In a research laboratory scientists treated 6 mice with lung cancer using natural medicine. Ten days later, they measured the volume of the tumor in each mouse and given the results in the table
Mouse marking | 1 | 2 | 3 | 4 | 5 | 6 |
Tumor Volume (mm3) | 145 | 148 | 142 | 141 | 139 | 140 |
Find the mean
If the mean of the following data is 20.2, then find the value of p
Marks | 10 | 15 | 20 | 25 | 30 |
No. of students | 6 | 8 | p | 10 | 6 |
In the class, weight of students is measured for the class records. Calculate mean weight of the class students using direct method
Weight in kg | 15 − 25 | 25 − 35 | 35 − 45 | 45 − 55 | 55 − 65 | 65 − 75 |
No. of students | 4 | 11 | 19 | 14 | 0 | 2 |
Calculate the mean of the following distribution using Assumed Mean Method
Class Interval | 0 − 10 | 10 − 20 | 20 − 30 | 30 − 40 | 40 − 50 |
Frequency | 5 | 7 | 15 | 28 | 8 |
Find the Arithmetic Mean of the following data using Step Deviation Method:
Age | 15 − 19 | 20 − 24 | 25 − 29 | 30 − 34 | 35 − 39 | 40 − 44 |
No. of persons | 4 | 20 | 38 | 24 | 10 | 9 |
Samacheer Kalvi solutions for Mathematics [English] Class 9 TN Board 8 Statistics Exercise 8.2 [Pages 283 - 284]
Find the median of the given values : 47, 53, 62, 71, 83, 21, 43, 47, 41
Find the median of the given data: 36, 44, 86, 31, 37, 44, 86, 35, 60, 51
The median of observation 11, 12, 14, 18, x + 2, x + 4, 30, 32, 35, 41 arranged in ascending order is 24. Find the values of x
A researcher studying the behavior of mice has recorded the time (in seconds) taken by each mouse to locate its food by considering 13 different mice as 31, 33, 63, 33, 28, 29, 33, 27, 27, 34, 35, 28, 32. Find the median time that mice spent in searching its food.
The following are the marks scored by the students in the Summative Assessment exam
Class | 0 − 10 | 10 − 20 | 20 − 30 | 30 − 40 | 40 − 50 | 50 − 60 |
No. of Students | 2 | 7 | 15 | 10 | 11 | 5 |
Calculate the median.
The mean of five positive integers is twice their median. If four of the integers are 3, 4, 6, 9 and median is 6, then find the fifth integer
Samacheer Kalvi solutions for Mathematics [English] Class 9 TN Board 8 Statistics Exercise 8.3 [Page 287]
The monthly salary of 10 employees in a factory are given below:
₹ 5000, ₹ 7000, ₹ 5000, ₹ 7000, ₹ 8000, ₹ 7000, ₹ 7000, ₹ 8000, ₹ 7000, ₹ 5000
Find the mean, median and mode
Find the mode of the given data: 3.1, 3.2, 3.3, 2.1, 1.3, 3.3, 3.1
For the data 11, 15, 17, x + 1, 19, x – 2, 3 if the mean is 14, find the value of x. Also find the mode of the data
The demand of track suit of different sizes as obtained by a survey is given below:
Size | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 |
No. of Persons | 36 | 15 | 37 | 13 | 26 | 8 | 6 | 2 |
Which size is in greater demanded?
Find the mode of the following data:
Marks | 0 − 10 | 10 − 20 | 20 − 30 | 30 − 40 | 40 − 50 |
Number of students | 22 | 38 | 46 | 34 | 20 |
Find the mode of the following distribution:
Weight (in kgs) | 25 − 34 | 35 − 44 | 45 − 54 | 55 − 64 | 65 − 74 | 75 − 84 |
Number of students | 4 | 8 | 10 | 14 | 8 | 6 |
Samacheer Kalvi solutions for Mathematics [English] Class 9 TN Board 8 Statistics Exercise 8.4 [Page 288]
Multiple choice questions
Let m be the midpoint and b be the upper limit of a class in a continuous frequency distribution. The lower limit of the class is
2m – b
2m + b
m – b
m – 2b
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
101
100
99
98
A particular observation which occurs maximum number of times in a given data is called its
frequency
range
mode
median
For which set of numbers do the mean, median and mode all have the same values?
2, 2, 2, 4
1, 3, 3, 3, 5
1, 1, 2, 5, 6
1, 1, 2, 1, 5
The algebraic sum of the deviations of a set of n values from their mean is
0
n – 1
n
n + 1
The mean of a, b, c, d and e is 28. If the mean of a, c and e is 24, then mean of b and d is
24
36
26
34
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
9
11
13
15
The mean of 5, 9, x, 17 and 21 is 13, then find the value of x
9
13
17
21
The mean of the square of first 11 natural numbers is
26
46
48
52
The mean of a set of numbers is `bar(X)`. If each number is multiplied by z, the mean is
`bar(X) + z`
`bar(X) - z`
`zbar(X)`
`bar(X)`
Solutions for 8: Statistics
![Samacheer Kalvi solutions for Mathematics [English] Class 9 TN Board chapter 8 - Statistics Samacheer Kalvi solutions for Mathematics [English] Class 9 TN Board chapter 8 - Statistics - Shaalaa.com](/images/mathematics-english-class-9-tn-board_6:5f2b1b2038084cf381bfa42c826a928c.jpg)
Samacheer Kalvi solutions for Mathematics [English] Class 9 TN Board chapter 8 - Statistics
Shaalaa.com has the Tamil Nadu Board of Secondary Education Mathematics Mathematics [English] Class 9 TN Board Tamil Nadu Board of Secondary Education solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Samacheer Kalvi solutions for Mathematics Mathematics [English] Class 9 TN Board Tamil Nadu Board of Secondary Education 8 (Statistics) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
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Concepts covered in Mathematics [English] Class 9 TN Board chapter 8 Statistics are Measures of Central Tendency, Concept of Data Handling, Collecting Data, Organisation of Data, Frequency Distribution Table, Arithmetic Mean - Raw Data, Mean of Grouped Data, Mean of Ungrouped Data, Method of Finding Mean for Grouped Data: Direct Method, Method of Finding Mean for Grouped Data: Deviation Or Assumed Mean Method, Method of Finding Mean for Grouped Data: the Step Deviation Method, A Special Property of the Arithmetic Mean, Concept of Median, Median of Grouped Data, Median of Ungrouped Data, Concept of Mode, Mode of Grouped Data, Mode of Ungrouped Data, Empirical Relationship Between the Three Measures of Central Tendency.
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