# Statistics

## Exercise 14.3

### Part 3

Question 7: The runs scored by two teams A and B on the first 60 balls in a cricket match are given below:

Number of Balls | Team A | Team B |
---|---|---|

1 – 6 | 2 | 5 |

7 – 12 | 1 | 6 |

13 – 18 | 8 | 2 |

19 – 24 | 9 | 10 |

25 – 30 | 4 | 5 |

31 -36 | 5 | 6 |

37 – 42 | 6 | 3 |

43 – 48 | 10 | 4 |

49 – 54 | 6 | 8 |

55 – 60 | 2 | 10 |

Represent the data of both the teams on the same graph by frequency polygons. [Hint : First make the class intervals continuous.]

**Answer:**

Number of Balls | Team A | Team B |
---|---|---|

1 – 7 | 2 | 5 |

7 – 13 | 1 | 6 |

13 – 19 | 8 | 2 |

19 – 25 | 9 | 10 |

25 – 31 | 4 | 5 |

31 -37 | 5 | 6 |

37 – 43 | 6 | 3 |

43 – 49 | 10 | 4 |

49 – 55 | 6 | 8 |

55 – 61 | 2 | 10 |

Question 8: A random survey of the number of children of various age groups playing in a park was found as follows:

Age (in years) | Number of children |
---|---|

1 – 2 | 5 |

2 – 3 | 3 |

3 – 5 | 6 |

5 – 7 | 12 |

7 – 10 | 9 |

10 – 15 | 10 |

15 – 17 | 4 |

Draw a histogram to represent the data above.

**Answer:**

Question 9: 100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:

Number of letters | Number of surnames |
---|---|

1 – 4 | 6 |

4 – 6 | 30 |

6 – 8 | 44 |

8 – 12 | 16 |

12 – 20 | 4 |

(i) Draw a histogram to depict the given information.

**Answer:**

(ii) Write the class interval in which the maximum number of surnames lie.

**Answer:** 6 – 8