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# For the following distribution:

Class 0-5 5-10 10-15 15-20 20-25

Frequency 10 15 12 20 9

the sum of lower limits of the median class and modal class is

a. 15

b. 25

c. 30

d. 35

**Solution:**

Class | Frequency | Cumulative Frequency |

0-5 | 10 | 10 |

5-10 | 15 | 25 |

10-15 | 12 | 37 |

15-20 | 20 | 57 |

20-25 | 9 | 66 |

We know that

N/2 = 66/2 = 33 that lies in the interval 10-15

10 is the lower limit of the median class

20 is the highest frequency that lies between the interval 15-20

So the lower limit of modal class is 15

Required sum = 10 + 15 = 25

Therefore, the sum of lower limits of the median class and modal class is 25.

**✦ Try This: **For the following distribution:

Class | 0-5 | 5-10 | 10-15 | 15-20 | 20-25 |

Frequency | 6 | 12 | 18 | 24 | 30 |

The sum of lower limits of the median class and modal class is

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

**NCERT Exemplar Class 10 Maths Exercise 13.1**** Problem 6**

## For the following distribution: Class 0-5 5-10 10-15 15-20 20-25 Frequency 10 15 12 20 9 the sum of lower limits of the median class and modal class is a. 15, b. 25, c. 30, d. 35

**Summary:**

For the distribution, the sum of lower limits of the median class and modal class is 25

**☛ Related Questions:**

- Consider the following frequency distribution: Class 0-5 6-11 12-17 18-23 24-29 Frequency 13 1 . . . .
- For the following distribution: Marks Number of students Below 10 3 Below 20 12 Below 30 27 Below 40 . . . .
- Consider the data: Class 65-85 85-105 105-125 125-145 145-165 165-185 185-205 Frequency 4 5 13 20 14 . . . .

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