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Frank solutions for Class 10 Maths chapter 24 - Measures Of Central Tendency

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Frank Class 10 Mathematics Part 2 - Shaalaa.com

Chapter 24: Measures Of Central Tendency

Exercise

Frank solutions for Class 10 Maths Chapter 24 Exercise [Page 0]

Find the mean of first 12 even numbers.

Find the mean of first 10 prime numbers.

Find the mean of all numbers from 7 to 17.

Find the mean of all odd numbers from 5 to 20. Find the new mean when each number is multiplied by 4. 

Find the mean of all natural numbers from 32 to 46. Find the new mean when each number is diminished by 5. 

If the mean of 8 , 14 , 20 , x and 12 is 13, find x.

If the mean of 11 , 14 , p , 26 , 10 , 12 , 18 , 6 is 15, find p.

The mean monthly income of 10 persons is Rs 8,670. If a new member with a monthly income of Rs 9, 000 joins the group, find the new monthly income. 

The heights of 9 persons are 142 cm, 158 cm, 152 cm, 143 cm, 139 cm, 144 cm, 146 cm, 148 cm and 151 cm. Find the mean height. 

Find the mean of the following frequency distribution : 

Class  0-10  10-20  20-30  30-40  40-50 
Frequency  4 7 6 3 5

Find the mean of the following frequency distribution : 

Class  0-10  10-20  20-30  30-40  40-50  50-60  60-70 
Frequency 4 4 7 10 12 8 5

Find the mean of the following frequency distribution : 

class  0-6  6-12  12-18  18-24  24-30 
Frequency 7 5 10 12 6

Find the mean of the following frequency distribution : 

Class  25-35  35-45  45-55 55-65 65-75
Frequency 6 10 8 12 4

Find the mean of the following frequency distribution : 

Class 50-60  60-70  70-80  80-90  90-100 
Frequency 8 6 12 11 13

Find the mean of the following frequency distribution : 

Class 1-10  11-20  21-30  31-40  41-50 
Frequency 9 12 15 10 14

Find the mean of the following frequency distribution : 

Class  101-110  111-120  121-130  131-140  141-150  151-160 
Frequency  11 16 20 30 14 9

The mean of the following frequency distribution is 25.8 and the sum of all the frequencies is 50. Find x and y. 

Class  0-10  10-20  20-30  30-40  40-50 
Frequency  7 x 15 y 10

Find the mean of the following frequency distribution by the short cut method : 

Class  0-10 10-20 20-30 30-40 40-50
Frequency 9 12 15 10 14

Find the mean of the following frequency distribution by the short cut method : 

Class  1-10 11-20 21-30 31-40 41-50 51-60 61-70
Frequency  7 10 14 17 15 11 6

Find the mean of the following frequency distribution by the step deviation method : 

Class  100-110  110-120  120-130  130-140  140-150 
Frequency  15 18 32 25 10

Find the mean of the following frequency distribution by the step deviation method : 

Class  0-20 20-40 40-60 60-80 80-100 100-120 120-140
Frequency  12 24 52 88 66 42 16

Frank solutions for Class 10 Maths Chapter 24 Exercise [Page 0]

The weights of 11 students in a class are 36 kg, 45 kg, 44 kg, 37 kg, 36 kg, 41 kg, 45 kg, 43 kg, 39 kg, 42 kg and 40 kg. Find the median of their weights. 

The percentage marks obtained in 10 subjects by a student are 84, 88, 72, 91, 68, 75, 98, 96, 79 and 86. Find the median of the marks obtained. 

Find the rnedian of the first 15 whole numbers .

Find the median of all prime numbers between 20 and 50

Find the median of the following: 

 11, 8, 15, 5, 9, 4, 19, 6, 18 

Find the median of the following: 

25, 34, 31, 23, 22, 26, 35, 29, 20, 32 

Find the median of the following: 

3x, x+5, x+7, x+9, x+11, x+13 

Find the median of the following frequency distribution : 

Weight(kg)  36 38 40 42 44
No. of students  11 26 29 24 10

Find the median of the following frequency distribution : 

Salarv fin Rs)  3500  4000 4500 5000 5500 6000
No. of people  9 17 23 15 6 5

The frequency distribution table below shows the height of 50 students of grade 10. 

Heights (in cm)  138 139 140 141 142
Frequency  6 11 16 10 7

Find the median, the upper quartile and the lower quartile of the heights. 

Find the lower quartile, the upper quartile, the interquartile range and the semi-interquartile range for the following frequency distributions: 

Shoe size  5 6 7 8 9 10 11
Frequency 8 1 7 14 11 5 4

Find the lower quartile, the upper quartile, the interquartile range and the semi-interquartile range for the following frequency distributions: 

Marks  25 30 35 40 45 50
No. of students 6 15 12 10 18 9

Find the lower quartile, the upper quartile, the interquartile range and the semi-interquartile range for the following frequency distributions: 

Variate  10 11 12 13 14 15 16 17 18 19 20
Frequency 1 2 3 1 2 4 2 1 1 2 1

Estimate the median, the lower quartile and the upper quartile of the following frequency distribution by drawing an ogive: 

Class Interval  0-10 10-20 20-30 30-40 40-50 50-60 60-70
Frequency 4 12 21 18 15 7 3

Estimate the median, the lower quartile and the upper quartile of the following frequency distribution by drawing an ogive: 

Marks  30-40 40-50 50-60 60-70 70-80 80-90 90-100
No. of boys  10 12 14 12 9 7 6

Estimate the median, the lower quartile and the upper quartile of the following frequency distribution by drawing an ogive: 

Marks (less than) 10 20 30 40 50 60 70 80
No. of students 5 15 30 54 72 86 94 100

Estimate the median, the lower quartile and the upper quartile of the following frequency distribution by drawing an ogive: 

Age( in yrs)  Under 10 Under 20 Under 30 Under 40 Under 50 Under 60
No. of male 6 10 25 32 43 50

Estimate the median, the lower quartile and the upper quartile of the following frequency distribution by drawing an ogive: 

Marks(more than) 90 80 70 60 50 40 30 20 10 0
No. of students 6 13 22 34 48 60 70 78 80 80

The marks obtained by 200 students in an examination are given below : 

Marks  0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100
No.of students 5 10 11 20 27 38 40 29 14 6

Using a graph paper, draw an ogive for the above distribution and estimate 

  1. the median 
  2.  the lower quartile 
  3.  the number of students who obtained more than 80°/o marks in the examination. 

The marks of 200 students in a test is given below : 

Marks% 10-19 20-29 30-39 40-49 50-59 60-69 70-79 80-89
No. of Students 7 11 20 46 57 37 15 7

Draw an ogive and find

(i) the median 

(ii) the number of students who scored more than 35% marks

Frank solutions for Class 10 Maths Chapter 24 Exercise [Page 0]

Find the mode of the following: 

6, 7, 1, 8,6,5, 9, 4, 6, 7, 1,3, 2, 6, 7,8 

Find the mode of the following: 

21, 22, 28, 23, 24, 21 26, 22, 29, 27, 21, 21, 26, 24, 23 

Find the mode of the following: 

3, 4, 5, 7, 6, 3, 5, 4, 3, 5, 6, 4, 7, 5, 4, 5, 4, 3, 4, 5, 7, 6, 5, 6, 6, 7 

Find the mode of the following: 

15, 17, 16, 17, 10, 12, 14, 16, 19, 12, 16, 15, 16 

Find the mode of the following: 

20, 20, 30, 30, 30, 30, 35, 40, 40, 45, 45, 45, 50, 55, 60, 60, 60 ,65, 70, 70, 70 

Find the mode of the following frequency distribution: 

Variate  20 21 22 23 24 25 26
Frequency  21 20 26 35 22 13 10

Find the mode of the following frequency distribution: 

Pocket money per week in Rs 25 50 75 100 125 150
No. of students 4 7 13 18 6 2

Find the mode of the following frequency distribution: 

Hrs. Spent daily in studies 3 3.5 4 4.5 5 5.5 6 6.5
No. of students 8 7 3 5 10 6 3 4

Draw a histogram for the following distribution and estimate the mode: 

Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80
No. of students 3 7 15 24 16 8 5 2

Draw a histogram for the following distribution and estimate the mode: 

I.Q. Score 80-100 100-120 120-140 140-160 160-180 180-200
No. of Students 6 9 16 13 4 2

Draw a histogram for the following distribution and estimate the mode: 

Mangoes 0-9 10-19 20-29 30-39 40-49 50-59
No. of trees 10 16 20 14 6 4

Draw a histogram for the following distribution and estimate the mode: 

Marks% 30-39 40-49 50-59 60-69 70-79 80-89 90-99
No. of students 14 26 40 92 114 78 36

Chapter 24: Measures Of Central Tendency

Exercise
Frank Class 10 Mathematics Part 2 - Shaalaa.com

Frank solutions for Class 10 Mathematics chapter 24 - Measures Of Central Tendency

Frank solutions for Class 10 Maths chapter 24 (Measures Of Central Tendency) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CISCE Frank Class 10 Mathematics Part 2 solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. Frank textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 10 Mathematics chapter 24 Measures Of Central Tendency are Median of Grouped Data, Histograms, Ogives (Cumulative Frequency Graphs), Basic Concepts of Statistics, Graphical Representation of Histograms, Graphical Representation of Ogives, Finding the Mode from the Histogram, Finding the Mode from the Upper Quartile, Finding the Mode from the Lower Quartile, Median from the Ogive, Calculation of Inter Quartile Range, Measures of Central Tendency - Mean, Median, Mode for Raw and Arrayed Data.

Using Frank Class 10 solutions Measures Of Central Tendency exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in Frank Solutions are important questions that can be asked in the final exam. Maximum students of CISCE Class 10 prefer Frank Textbook Solutions to score more in exam.

Get the free view of chapter 24 Measures Of Central Tendency Class 10 extra questions for Maths and can use Shaalaa.com to keep it handy for your exam preparation

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