Mathematics Solutions Solutions for Class 7 Maths Chapter 16 Statistics are provided here with simple step-by-step explanations. These solutions for Statistics are extremely popular among Class 7 students for Maths Statistics Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Mathematics Solutions Book of Class 7 Maths Chapter 16 are provided here for you for free. You will also love the ad-free experience on Meritnationâ€™s Mathematics Solutions Solutions. All Mathematics Solutions Solutions for class Class 7 Maths are prepared by experts and are 100% accurate.

#### Page No 96:

#### Question 1:

The daily rainfall for each day of a week in a certain city is given in millimetres. Find the average rainfall during the week.

9, 11, 8, 20, 10, 16, 12

#### Answer:

Average rainfall = $\frac{\mathrm{Sum}\mathrm{of}\mathrm{the}\mathrm{total}\mathrm{rainfall}}{\mathrm{Number}\mathrm{of}\mathrm{days}}$

$=\frac{9+11+8+20+10+16+12}{7}\phantom{\rule{0ex}{0ex}}=\frac{86}{7}=12.29\mathrm{mm}$

#### Page No 96:

#### Question 2:

During the annual function of a school, a Women’s Self-helf Group had set up a snacks stall. Their sales every hour were worth Rs 960, Rs 830, Rs 945, Rs 800, Rs 847, Rs 970 respectively. What was the average of the hourly sales?

#### Answer:

Average hourly sale = $\frac{\mathrm{Total}\mathrm{sale}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{hours}}$

$=\frac{960+830+945+800+847+970}{6}\phantom{\rule{0ex}{0ex}}=\frac{5352}{6}\phantom{\rule{0ex}{0ex}}=892$

Thus, the average of the hourly sale is Rs 892.

#### Page No 96:

#### Question 3:

The annual rainfall in Vidarbha in five years is given below. What is the average rainfall for those 5 years ? 900 mm, 650 mm, 450 mm, 733 mm, 400 mm

#### Answer:

Average rainfall for 5 years = $\frac{\mathrm{Total}\mathrm{rainfall}\mathrm{in}5\mathrm{years}}{5\mathrm{years}}$

$=\frac{900+650+450+733+400}{5}\phantom{\rule{0ex}{0ex}}=\frac{3133}{5}\phantom{\rule{0ex}{0ex}}=626.6$

Thus, average rainfall for 5 years is 626.6 mm.

#### Page No 96:

#### Question 4:

A farmer bought some sacks of animal feed. The weights of the sacks are given below in kilograms. What is the average weight of the sacks ?

49.8, 49.7, 49.5, 49.3, 50, 48.9, 49.2, 48.8

#### Answer:

Average weight = $\frac{\mathrm{Total}\mathrm{weight}\mathrm{of}\mathrm{all}\mathrm{the}\mathrm{sacks}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{sacks}}$

$=\frac{49.8+49.7+49.5+49.3+50+48.9+49.2+48.8}{8}\phantom{\rule{0ex}{0ex}}=\frac{395.5}{8}\phantom{\rule{0ex}{0ex}}=49.4$

Thus, the average weight of the sacks is 49.4 kg.

#### Page No 99:

#### Question 1:

The height of 30 children in a class is given in centimetres. Draw up a freqency table of this data.

131, 135, 140, 138, 132, 133, 135, 133, 134, 135, 132, 133, 140, 139, 132, 131, 134, 133, 140, 140, 139, 136, 137, 136, 139, 137, 133, 134, 131, 140

#### Answer:

Height |
Tally Marks |
Children |

131 | 3 | |

132 | 3 | |

133 | 5 | |

134 | 3 | |

135 | 3 | |

136 | 2 | |

137 | 2 | |

138 | 1 | |

139 | 3 | |

140 | 5 | |

Total |
30 |

#### Page No 99:

#### Question 2:

In a certain colony, there are 50 families. The number of people in every family is given below. Draw up the frequency table.

5, 4, 5, 4, 5, 3, 3, 3, 4, 3, 4, 2, 3, 4, 2, 2, 2, 2, 4, 5, 1, 3, 2, 4, 5, 3, 3, 2, 4, 4, 2, 3, 4, 3, 4, 2, 3, 4, 5, 3, 2, 3, 2, 3, 4, 5, 3, 2, 3, 2

#### Answer:

People |
Tally Marks |
Families |

1 | 1 | |

2 | 13 | |

3 | 16 | |

4 | 13 | |

5 | 7 | |

Total |
50 |

#### Page No 99:

#### Question 3:

A dice was cast 40 times and each score noted is given below. Draw up a frequency table for this data.

3, 2, 5, 6, 4, 2, 3, 1, 6, 6, 2, 3, 5, 3, 5, 3, 4, 2, 4, 5, 4, 2, 6, 3, 3, 2 4, 3, 3, 4, 1, 4, 3, 3, 2, 2, 5, 3, 3, 4

#### Answer:

Surface |
Tally marks |
Frequency |

1 | 2 | |

2 | 8 | |

3 | 13 | |

4 | 8 | |

5 | 5 | |

6 | 4 | |

Total |
40 |

#### Page No 99:

#### Question 4:

The number of chapatis that 30 children in a hostel need at every meal is given below. Make a frequency table for these scores.

3, 2, 2, 3, 4, 5, 4, 3, 4, 5, 2, 3, 4, 3, 2, 5, 4, 4, 4, 3, 3, 2, 2, 2, 3, 4, 3, 2, 3, 2

#### Answer:

Chapatis |
Tally Marks |
Children |

2 | 9 | |

3 | 10 | |

4 | 8 | |

5 | 3 | |

Total |
30 |

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