**NCERT Solutions for Class 15Statistics Chapter 5 Measures Of Central Tendency** – Here are all the NCERT solutions for Class 11 Statistics Chapter 5. This solution contains questions, answers, images, explanations of the complete chapter 5 titled Measures Of Central Tendency taught in Class 11. If you are a student of Class 11 who is using NCERT Textbook to study Statistics, then you must come across chapter 5 Measures Of Central Tendency. After you have studied lesson, you must be looking for answers of its questions. Here you can get complete NCERT Solutions for Class 11 Statistics Chapter 5 Measures Of Central Tendency.

## NCERT Solutions Class 11 Statistics Chapter 5 Measures Of Central Tendency

Here on **AglaSem Schools**, you can access to **NCERT Book Solutions** in free pdf for Statistics for Class 11 so that you can refer them as and when required. The NCERT Solutions to the questions after every unit of NCERT textbooks aimed at helping students solving difficult questions.

For a better understanding of this chapter, you should also see summary of Chapter 5 Measures Of Central Tendency , Statistics, Class 11.

Class | 11 |

Subject | Statistics |

Book | Statistics For Economics |

Chapter Number | 5 |

Chapter Name |
Measures Of Central Tendency |

### NCERT Solutions Class 11 Statistics chapter 5 Measures Of Central Tendency

Class 11, Statistics chapter 5, Measures Of Central Tendency solutions are given below in PDF format. You can view them online or download PDF file for future use.

### Measures Of Central Tendency

**NCERT Solutions for Class 11 Statistics (Statistics for Economics) Chapter 5 Measures of Central Tendency Download**

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### Question & Answer

Q.1:Which average would be suitable in the following cases? (i) Average size of readymade garments. (ii) Average intelligence of students in a class. (iii) Average production in a factory per shift. (iv) Average wage in an industrial concern. (v) When the sum of absolute deviations from average is least. (vi) When quantities of the variable are in ratios. (vii)In case of open-ended frequency distribution.

Ans :(i) Mode (ii) Median (iii) Arithmetic Average (iv) Arithmetic Average (v) Median (vi) Arithmetic Average (vii) Median

Q.2:Indicate the most appropriate alternative from the multiple choices provided against each question. (i) The most suitable average for qualitative measurement is (a) arithmetic mean (b) median (c) mode (d) geometric mean (e) none of the above (ii) Which average is affected most by the presence of extreme items? (a) median (b) mode (c) arithmetic mean (d) none of the above (iii) The algebraic sum of deviation of a set of n values from A.M. is (a) n (b) 0 (c) 1 (d) none of the above

Ans :(i) (b) median (ii) (c) arithmetic mean (iii) (b) 0

Q.3:Comment whether the following statements are true or false. (i) The sum of deviation of items from median is zero. (ii) An average alone is not enough to compare series. (iii) Arithmetic mean is a positional value. (iv) Upper quartile is the lowest value of top 25% of items. (v) Median is unduly affected by extreme observations.

Ans :(i) False (ii) True (iii) False (iv) True (v) False

Q.4:If the arithmetic mean of the data given below is 28, find (a) the missing frequency, and (b) the median of the series: (The value of missing frequency is 20 and value of the median is Rs 27.41)

Ans :(a) Let the missing frequency be x Arithmetic mean = 28 (given) \(\begin{array}{l}{\text { Mean }=\Sigma f x / \Sigma f} \\ {\Rightarrow 28=2100+35 x / 80+x} \\ {\Rightarrow 2240+28 x=2100+35} \\ {\Rightarrow 2240-2100=35 x-25 x} \\ {\Rightarrow 140=7 x} \\ {\Rightarrow x=140 / 7=20}\end{array}\) Missing frequency = 20 (b) \(\begin{aligned} \text { Median } &=\text { Size of }(N / 2) \text { th item } \\ &=100 / 2=5 \text { th item } \\ \text { It lies in class } 20-30 \end{aligned}\) \(\begin{aligned} \text { Median } &=L+\frac{\frac{N}{2}-C F}{f} \times i \\ &=20+\frac{\frac{100}{2}-30}{27} \times 10 \\ &=20+\frac{50-30}{27} \times 10 \\ &=20+\frac{20}{27} \times 10 \\ &=27.407 \end{aligned}\)

Q.5:The following table gives the daily income of ten workers in a factory. Find the arithmetic mean.

Ans :\(\begin{aligned} N=10 \\ \text { Arithmetic Mean } &=\sum x / N \\ &=2400 / 10 \\ &=240 \\ \text { Arithmetic Mean } &=240 \end{aligned}\)

## NCERT / CBSE Book for Class 11 Statistics

You can download the NCERT Book for Class 11 Statistics in PDF format for free. Otherwise you can also buy it easily online.

- Click here for NCERT Book for Class 11 Statistics
- Click here to buy NCERT Book for Class 11 Statistics

### All NCERT Solutions Class 11

- NCERT Solutions for Class 11 Accountancy
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- NCERT Solutions for Class 11 Economics
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- NCERT Solutions for Class 11 Business Studies
- NCERT Solutions for Class 11 Statistics

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