The following tables gives the frequency distribution of number of peas per pea pod of 198 pods:

Number of peas

1

2

3

4

5

6

7

Frequency

4

33

76

50

26

8

1


What is the median of this distribution?

This question was previously asked in
NDA (Held On: 18 Apr 2021) Maths Previous Year paper
View all NDA Papers >
  1. 3
  2. 4
  3. 5
  4. 6

Answer (Detailed Solution Below)

Option 1 : 3
Free
NDA 01/2025: English Subject Test
5.3 K Users
30 Questions 120 Marks 30 Mins

Detailed Solution

Download Solution PDF

Concept:

Median of 'n' observations is the value at the central position when the data is arranged in ascending or descending order.

  • For, odd n, median is the value at the \(\rm \left(\frac{n+1}{2}\right)\) position.
  • For even n, median is the mean of values at \(\rm \left(\frac{n}{2}\right)\) and \(\rm \left(\frac{n}{2}+1\right)\) position.

 

Calculation:

Writing the cumulative frequencies, we get

Number of peas

1

2

3

4

5

6

7

Frequency

4

33

76

50

26

8

Cumulative Frequency 4 37 113 163 189 197 198

 

Since n = 198 is even, the median will be the mean of the values at \(\rm \left(\frac{198}{2}\right)\) = 99th position and 99 + 1 = 100th position.

From the above table, both the 99th and 100th values are 3.

Therefore, the median of the above data is 3.

Latest NDA Updates

Last updated on May 30, 2025

->UPSC has released UPSC NDA 2 Notification on 28th May 2025 announcing the NDA 2 vacancies.

-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.

->The NDA exam date 2025 has been announced for cycle 2. The written examination will be held on 14th September 2025.

-> Earlier, the UPSC NDA 1 Exam Result has been released on the official website.

-> The selection process for the NDA exam includes a Written Exam and SSB Interview.

-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100. 

-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential. 

Get Free Access Now
Hot Links: all teen patti game teen patti joy 51 bonus teen patti real cash 2024 teen patti yes teen patti royal - 3 patti