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2: Sales Tax and Value Added Tax
3: Banking
4: Shares and Dividends
5: Linear Inequations
6: Quadratic Equations
7: Problems Based On Quadratic Equations
8: Reflection
9: Ratio and Proportion
10: Remainder And Factor Theorems
11: Matrices
12: Distance and Section Formulae
13: Equation of A Straight Line
14: Symmetry
15: Similarity
16: Loci
17: Circles
18: Constructions
19: Mensuration I
20: Mensuration II
21: Trigonometric Identities
22: Heights and Distances
23: Graphical Representations
▶ 24: Measures Of Central Tendency
25: Probability
![Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE chapter 24 - Measures Of Central Tendency - Shaalaa.com](/images/mathematics-part-2-english-class-10-icse_6:8e44615e9b1f4106bcc105730558f05b.jpg "Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE chapter 24 - Measures Of Central Tendency")
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Solutions for Chapter 24: Measures Of Central Tendency
Below listed, you can find solutions for Chapter 24 of CISCE Frank for Mathematics - Part 2 [English] Class 10 ICSE.
Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE 24 Measures Of Central Tendency Exercise
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 Mathematics - Part 2 [English] Class 10 ICSE 24 Measures Of Central Tendency Exercise
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 males | 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. Use your Ogive to estimate:
(i) the median;
(ii) the lower quartile;
(iii) the number of students who obtained more than 80% marks in the examination and
(iv) the number of students who did not pass, if the pass percentage was 35.
Use the scale as 2 cm = 10 marks on one axis and 2 cm = 20 students on the other axis.
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 Mathematics - Part 2 [English] Class 10 ICSE 24 Measures Of Central Tendency Exercise
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 |
Solutions for 24: Measures Of Central Tendency
Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE chapter 24 - Measures Of Central Tendency
Shaalaa.com has the CISCE Mathematics Mathematics - Part 2 [English] Class 10 ICSE CISCE 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. Frank solutions for Mathematics Mathematics - Part 2 [English] Class 10 ICSE CISCE 24 (Measures Of Central Tendency) 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.
Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. Frank textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.
Concepts covered in Mathematics - Part 2 [English] Class 10 ICSE chapter 24 Measures Of Central Tendency are Median of Grouped Data, Ogives (Cumulative Frequency Graphs), Concepts of Statistics, Graphical Representation of Ogives, Finding the Mode from the Histogram, Finding the Mode from the Upper Quartile, Finding the Mode from the Lower Quartile, Finding the Median, upper quartile, lower quartile from the Ogive, Calculation of Lower, Upper, Inter, Semi-Inter Quartile Range, Concept of Median, Graphical Representation of Data as Histograms, Mean of Grouped Data, Mean of Ungrouped Data, Median of Ungrouped Data, Mode of Ungrouped Data, Mode of Grouped Data, Mean of Continuous Distribution, Graphical Representation of Data as Histograms.
Using Frank Mathematics - Part 2 [English] Class 10 ICSE solutions Measures Of Central Tendency exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in Frank Solutions are essential questions that can be asked in the final exam. Maximum CISCE Mathematics - Part 2 [English] Class 10 ICSE students prefer Frank Textbook Solutions to score more in exams.
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