Find the median weight for the following data: Weight (in kg ) 45 46 48 50 52 54 55 Number of boys 8 5 6 9 7 4 2

The cumulative frequency table of the given data is as shown below. Weight (in kg ) 45 46 48 50 52 54 55 Number of boys 8 5 6 9 7 4 2 Cumulative frequency 8 13 19 28 35 39 41 Number of terms, n = 41 which is an odd number. We know that, Median = n + 1 2 th observation = 41 + 1 2 th observation = 21 st observation = 50 Hence, the median weight is 50 kg .

Calculate the median for the following data: Marks 17 20 22 15 30 25 Number of students 5 9 4 3 10 6

We need to arrange the given data in ascending order as shown below. Marks 15 17 20 22 25 30 Number of students 3 5 9 4 6 10 The cumulative frequency table of the given data is as shown below. Marks 15 17 20 22 25 30 Number of students 3 5 9 4 6 10 Cumulative frequency 3 8 17 21 27 37 Number of terms, n = 37 which is an odd number. We know that, Median = n + 1 2 th observation = 37 + 1 2 th observation = 19 th observation = 22 Hence, the median marks of the students is 22 .

The heights (in cm ) of 50 students of a class are given below: Height (in cm ) 156 154 155 151 157 152 153 Number of students 8 4 10 6 7 3 12 Find the median height.

To find the median, we need to arrange the given data in ascending order as shown below. Height (in cm ) 151 152 153 154 155 156 157 Number of students 6 3 12 4 10 8 7 Now, we need to find the cumulative frequency of the given data. Height (in cm ) 151 152 153 154 155 156 157 Number of students 6 3 12 4 10 8 7 Cumulative frequency 6 9 21 25 35 43 50 Here, the number of terms, n = 50 which is even. We know that, Median = 1 2 n 2 th observation + n 2 + 1 th observation = 1 2 50 2 th observation + 50 2 + 1 th observation = 1 2 25 th observation + 26 th observation = 1 2 154 + 155 = 154 . 5 Hence, the median height is 154 . 5 cm .

E M B I B E

MATHEMATICS FOR CLASS 7>Chapter 21 - Collection and Organisation of Data (Mean, Median and Mode)>EXERCISE 21B

R S Aggarwal Solutions for Chapter: Collection and Organisation of Data (Mean, Median and Mode), Exercise 2: EXERCISE 21B

Author:R S Aggarwal

R S Aggarwal Mathematics Solutions for Exercise - R S Aggarwal Solutions for Chapter: Collection and Organisation of Data (Mean, Median and Mode), Exercise 2: EXERCISE 21B

Attempt the free practice questions on Chapter 21: Collection and Organisation of Data (Mean, Median and Mode), Exercise 2: EXERCISE 21B with hints and solutions to strengthen your understanding. MATHEMATICS FOR CLASS 7 solutions are prepared by Experienced Embibe Experts.