#### Chapters

Chapter 2: Sales Tax and Value Added Tax

Chapter 3: Banking

Chapter 4: Shares and Dividends

Chapter 5: Linear Inequations

Chapter 6: Quadratic Equations

Chapter 7: Problems Based On Quadratic Equations

Chapter 8: Reflection

Chapter 9: Ratio and Proportion

Chapter 10: Remainder And Factor Theorems

Chapter 11: Matrices

Chapter 12: Distance and Section Formulae

Chapter 13: Equation of A Straight Line

Chapter 14: Symmetry

Chapter 15: Similarity

Chapter 16: Loci

Chapter 17: Circles

Chapter 18: Constructions

Chapter 19: Mensuration I

Chapter 20: Mensuration II

Chapter 21: Trigonometric Identities

Chapter 22: Heights and Distances

Chapter 23: Graphical Representations

Chapter 24: Measures Of Central Tendency

Chapter 25: Probability

## Chapter 24: Measures Of Central Tendency

#### 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 |

Age( in yrs) |
Under 10 | Under 20 | Under 30 | Under 40 | Under 50 | Under 60 |

No. of males |
6 | 10 | 25 | 32 | 43 | 50 |

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

- the median
- the lower quartile
- 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

## 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.

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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.

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