The data given below shows the marks obtained by various students.

Marks

Number of students

10 – 12 

6

12 – 14 

8

14 – 16

5

16 – 18 

7

18 - 20 

4

 

What is the mean marks (Correct up to two decimal places) of given data? 

This question was previously asked in
SSC MTS Previous Paper 8 (Held On: 6 August 2019 Shift 2)
View all SSC MTS Papers >
  1. 13.67
  2. 14.67
  3. 15.33
  4. 13.33

Answer (Detailed Solution Below)

Option 2 : 14.67
Free
SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
90 Qs. 150 Marks 90 Mins

Detailed Solution

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⇒ n = total frequency

Mid value of 10 – 12 = (10 + 12)/2 = 11

Mid value of 12 – 14 = (12 + 14 )/2 = 13

Mid value of 14 – 16 = (14 + 16 )/2 = 15

Mid value of 16 – 18 = (16 + 18 )/2 = 17

Mid value of 18 – 20 = (18 + 20 )/2 = 19

⇒ Mean = 14.67

∴The mean marks of the given data are 14.67

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