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# An aircraft has 120 passenger seats. The number of seats occupied during 100 flights is given in the following table

Number of seats 100-104 104-108 108-112 112-116 116-120

Frequency 15 20 32 18 15

Determine the mean number of seats occupied over the flights

**Solution:**

Given, the data represents the seats occupied during 100 flights.

An aircraft has 120 passenger seats.

We have to find the mean number of seats occupied over the flights.

Number of seats | Frequency (f) | Midpoint x | f × x |

100 - 104 | 15 | 102 | 1530 |

104 - 108 | 20 | 106 | 2120 |

108 - 112 | 32 | 110 | 3520 |

112 - 116 | 18 | 114 | 2052 |

116 - 120 | 15 | 118 | 1770 |

Total | ∑f = 100 | ∑fx = 10992 |

By direct method,

Mean = ∑fx / ∑f

From the table,

Mean = 10992/100

= 109.92

Since the seats cannot be in decimal.

Therefore, the mean of seats is 109.92.

**✦ Try This: **An aircraft has 120 passenger seats. The number of seats occupied during 100 flights is given in the following table:

Number of seats | 100-104 | 104-108 | 108-112 | 112-116 | 116-120 |

Frequency | 12 | 24 | 33 | 19 | 17 |

Determine the mean number of seats occupied over the flights.

**☛ Also Check: **NCERT Solutions for Class 10 Maths Chapter 14

**NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 6**

## An aircraft has 120 passenger seats. The number of seats occupied during 100 flights is given in the following table: Number of seats 100-104 104-108 108-112 112-116 116-120 Frequency 15 20 32 18 15. Determine the mean number of seats occupied over the flights

**Summary:**

The mean is the average or a calculated central value of a set of numbers and is used to measure the central tendency of the data. The mean number of seats occupied over the flights is 109.92

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