# Consider the data:

Class 65-85 85-105 105-125 125-145 145-165 165-185 185-205

Frequency 4 5 13 20 14 7 4

The difference of the upper limit of the median class and the lower limit of the modal class is

a. 0

b. 19

c. 20

d. 38

**Solution:**

The cumulative frequency table is

Class | Frequency | Cumulative Frequency |

65-85 | 4 | 4 |

85-105 | 5 | 9 |

105-125 | 13 | 22 |

125-145 | 20 | 42 |

145-165 | 14 | 56 |

165-185 | 7 | 63 |

185-205 | 4 | 67 |

We know that

N/2 = 67/2 = 33.5

So the median class=125-145

The upper limit is 145

Here is modal class is the class with maximum frequency

Modal class is 125-145

The lower limit is 125

Difference of upper and lower limit = 145 - 125 = 20

Therefore, the difference between the upper limit of the median class and the lower limit of the modal class is 20.

**✦ Try This: **Consider the data:

Class | 60-80 | 80-100 | 100-120 | 120-140 | 140-160 | 160-180 | 180-200 |

Frequency | 5 | 10 | 15 | 20 | 25 | 30 | 35 |

The difference of the upper limit of the median class and the lower limit of the modal class is

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

**NCERT Exemplar Class 10 Maths Exercise 13.1**** Problem 9**

## Consider the data: Class 65-85 85-105 105-125 125-145 145-165 165-185 185-205 Frequency 4 5 13 20 14 7 4. The difference of the upper limit of the median class and the lower limit of the modal class is a. 0, b. 19, c. 20, d. 38

**Summary:**

Considering the data, the difference between the upper limit of the median class and the lower limit of the modal class is 20

**☛ Related Questions:**

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