**Class 9 Maths important questions for chapter 14** -Statistics are provided here with solutions to help students who are preparing for final exam 2020. These questions are prepared by our expert teachers in accordance with NCERT book and CBSE syllabus. There are some extra questions provided here so that students could practice well and score good marks in this subject. Get important questions for all chapters of 9th standard Maths here at BYJU’S.

Statistics is one of the crucial branches of Mathematics. The topics covered in this chapter are not only important for exams perspective but also for higher classes. These topics will be explained widely once student move on to higher studies. The chapter gives a brief of how statistics is a part of real-world applications as well. Let us solve the important problems related to this chapter as per standard 9 syllabi of Maths and get prepared for the examination.

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## Important Questions & Solutions of Class 9 Maths Chapter 14 – Statistics

**Question 1**. **Give three examples of data which you can get from your day-to-day life.**

**Solution:**

Here are the three examples which are related to our day-to-day life :

- Number of boys in the sports team.
- Electricity bills of last one year.
- Number of students appearing for board exams from your school.

**Question 2**. **The height of 20 students of class V are noted as follows**

**4, 4.5, 5, 5.5, 4, 4, 4.5, 5, 5.5, 4, 3.5, 3.5, 4.2, 4.6, 4.2, 4.7, 5.5, 5.3, 5, 5.5.**

**Make a frequency distribution table for the above data.****Which is the most common height and which is the rarest height among these students?**

**Solution: **The required frequency distribution table is:

Height | Tally Marks | Students |

3.5 | II | 2 |

4 | IIII | 4 |

4.2 | II | 2 |

4.5 | II | 2 |

4.6 | I | 1 |

4.7 | I | 1 |

5 | III | 3 |

5.3 | I | 1 |

5.5 | IIII | 4 |

Total | 20 |

**Question 3: The number of family members in 10 flats of a society are**

**2, 4, 3, 4, 2, 0, 3, 5, 1, 6.**

**Find the mean number of family members per flat.**

**Solution**:

Number of family members in 10 flats -2, 4, 3, 3, 1, 0, 2, 4, 1, 5.

So, we get,

Mean = sum of observation/ total no of observations

Mean = (2 + 4+ 3 + 3 + 1 + 0 + 2 + 4 + 1 + 5) / 10

Mean = 25/10 = 2.5

**Question 4.The following is the list of number of coupons issued in a school canteen during a week:**

**105, 216, 322, 167, 273, 405 and 346.**

**Find the average no. of coupons issued per day.**

**Solution:**

Number of coupons issued in a week : 105, 216, 322, 167, 273, 405 and 346.

So, we get,

Mean = sum of observation/ total no of observations

Mean = 106+ 215+ 323+166+273+405+346/ 7 = 346/7

Mean = 262

**Question 5.The daily minimum questions solved by a student during a week were as under:**

Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
Saturday |

35 |
30 |
27 |
32 |
23 |
28 |

**Find the mean questions**

**Solution: **.

Number of questions solved in a week : 35, 30, 27, 32, 23, 28.

So, we get,

Mean = sum of observation/ total no of observations = (35+30+27+32+23+28) / 7 = 175/7 = 25

**Question 6.If the mean of six observations y, y + 1, y + 4, y + 6, y + 8, y + 5 is 13, find the value of y.**

**Solution:**

Mean = sum of observation/ total no of observations

13 = (*y + y *+ 1+ *y* + 4+* y* + 6+ *y* + 8+ y + 5) / 6

13 = (6y + 24)/6

(13 * 6) = 6y +24

(13 * 6) – 24 = 6y

(13 * 6) – 6 * 4 = 6y

6(13 – 4) = 6y

Y = 9

**Question 7**.** In the above question, Find the mean of all the observations?**

**Solution:**

The six given observations are

*y, y *+ 1, *y* + 4,* y* + 6, *y* + 8, y + 5.

If we put the value of y (found in previous question), the observation values will be

9, 10, 13, 15, 17, 14

Mean = sum of observation/ total no of observations = (9+10+13+15+17+14) / 6 = 78/6 = 13

**Question 8.** **The mean weight of a class of 34 students is 46.5 kg. If the weight of the new boy is included, the mean is rises by 500 g. Find the weight of the new boy.**

**Solution:**

The mean score of 34 students = 46.5

Sum of the scores of 34 students = (46.5 * 34) = 1581

Change or increase in the mean score when the score of a new boy is added = 0.5

So, the new mean = (46.5 +0.5) = 47

So, let the score of new boy be y.

So, (sum of scores of 34 students + score of new boy) / 35 = 47

(1581+ y)/ 35 = 47

1581 + y = 1645

Y = 1645 – 1581 = 64

**Question 9.The Number of books issued to 15 students in a class are:**

**25, 19, 24, 23, 29, 31, 19, 20, 22, 26, 17, 35, 21.**

**Find the median no. of books for the above data.**

**Solution:**

Let’s arrange the data given in ascending order – 17, 19, 19, 20, 21, 22, 23, 24, 25, 26, 29,31,35.

n= 13, so itâ€™s an odd number

Median = (n+1) / 2 observations

= (13+1)/ 2 = (14/2)^{th} observation = 7th observation = 23

**Question 10.The weight (in kg) of 7 students of a class are 44, 52, 55, 60, 50, 49, 45.**

**Find the median weight.**

**Solution:**

Let’s arrange the data given in ascending order – 44, 45, 49, 50, 52, 55, 60.

n= 7, so itâ€™s an odd number

Median = (n+1) / 2 observations

= (7+1)/ 2 = (8/2)^{th} observation = 4th observation = 50 kgs

### Extra Questions For Class 9 Maths Chapter 14 (Statistics)

- Find the mean and median of the following data: 25, 26, 27, 28, 28, 29, 25, 30, 29
- If the mean of the given data is 21. Find the value of X.Â Â P: 7, 15, 28, 5, 1Q: 8, 20, P, 3, 2
- The blood groups of 30 students of Class VIII are recorded as follows: A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O, A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O. Represent this data in the form of a frequency distribution table. Which is the most common, and which is the rarest, blood group among these students?
- The value of Ï€ upto 50 decimal places is given below:

3.14159265358979323846264338327950288419716939937510

(i) Make a frequency distribution of the digits from 0 to 9 after the decimal point.

(ii) What are the most and the least frequently occurring digits?