#### Question

The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures

Number of students per teacher |
Number of states/U.T |

15 − 20 |
3 |

20 − 25 |
8 |

25 − 30 |
9 |

30 − 35 |
10 |

35 − 40 |
3 |

40 − 45 |
0 |

45 − 50 |
0 |

50 − 55 |
2 |

#### Solution

#### Related Questions VIEW ALL [5]

The following data gives the information on the observed lifetimes (in hours) of 225 electrical components:

Lifetimes (in hours) |
0 − 20 | 20 − 40 | 40 − 60 | 60 − 80 | 80 − 100 | 100 − 120 |

Frequency |
10 | 35 | 52 | 61 | 38 | 29 |

Determine the modal lifetimes of the components.

The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures.

Number of students per teacher |
Number of states/U.T |

15 − 20 | 3 |

20 − 25 | 8 |

25 − 30 | 9 |

30 − 35 | 10 |

35 − 40 | 3 |

40 − 45 | 0 |

45 − 50 | 0 |

50 − 55 | 2 |

The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches

Runs scored |
Number of batsmen |

3000 − 4000 | 4 |

4000 − 5000 | 18 |

5000 − 6000 | 9 |

6000 − 7000 | 7 |

7000 − 8000 | 6 |

8000 − 9000 | 3 |

9000 − 10000 | 1 |

10000 − 11000 | 1 |

Find the mode of the data.

A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find the mode of the data:

Number of cars |
0 − 10 | 10 − 20 | 20 − 30 | 30 − 40 | 40 − 50 | 50 − 60 | 60 − 70 | 70 − 80 |

Frequency |
7 | 14 | 13 | 12 | 20 | 11 | 15 | 8 |

The following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure.

Expenditure (in Rs) |
Number of families |

1000 − 1500 | 24 |

1500 − 2000 | 40 |

2000 − 2500 | 33 |

2500 − 3000 | 28 |

3000 − 3500 | 30 |

3500 − 4000 | 22 |

4000 − 4500 | 16 |

4500 − 5000 | 7 |