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A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

# The following table gives production yield per hectare of wheat of 100 farms of a village.

Change the distribution to a more than type distribution, and draw its ogive.

**Solution:**

The graphical representation of cumulative frequency distribution is known as a cumulative frequency curve or an ogive.

The cumulative frequency distribution of more than one type can be obtained as follows:

Production Yield-(in kg/ha) (Lower class limits) |
Cumulative Frequency |

More than or equal to 50 | 100 |

More than or equal to 55 | 100 - 2 = 98 |

More than or equal to 60 | 98 - 8 = 90 |

More than or equal to 65 | 90 -12 = 78 |

More than or equal to 70 | 78 - 24 = 54 |

More than or equal to 75 | 54 - 38 =16 |

Taking the lower-class limits on the x-axis and their respective cumulative frequencies on the y-axis, its ogive can be obtained as follows.

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

**Video Solution:**

## The following table gives production yield per hectare of wheat of 100 farms of a village. Change the distribution to a more than type distribution, and draw its ogive

NCERT Solutions for Class 10 Maths Chapter 14 Exercise 14.4 Question 3

**Summary:**

The table gives the data of production yield per hectare of wheat of 100 farms of a village. The distribution of a more than type distribution is obtained and the ogive is drawn.

**☛ Related Questions:**

- 100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as follows: Determine the median number of letters in the surnames. Find the mean number of letters in the surnames? Also, find the modal size of the surnames.
- The distribution below gives the weights of 30 students of a class. Find the median weight of the students.
- The following distribution gives the daily income of 50 workers of a factory. Convert the distribution above to a less than type cumulative frequency distribution and draw its ogive.
- During the medical check-up of 35 students of a class, their weights were recorded as follows: Draw a less than type ogive for the given data. Hence obtain the median weight from the graph and verify the result by using the formula.

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