ICSE Class 10CISCE
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

The Marks Obtained by 30 Students in a Class Assignment of 5 Marks Are Given Below. Calculate the Mean, Median and Mode of the Above Distribution - ICSE Class 10 - Mathematics

Login
Create free account


      Forgot password?

Question

The marks obtained by 30 students in a class assignment of 5 marks are given below.

Marks 0 1 2 3 4 5
No. of
Students
1 3 6 10 5 5

Calculate the mean, median and mode of the above distribution

Solution

Marks (x) 0 1 2 3 4 5 Total
No. of Students (f) 1 3 6 10 5 5 n = 30
fx 0 3 12 30 20 25 `sum fx = 90`
c.f 1 4 10 20 25 30  

Mean  = `(sum fx)/n = 90/30 = 3`

Number of observations 30 (even)

∴ Median = `((n/2)^"th" "observation" + (n/2 + 1)^"th" "observation" )/2`

`= ((30/2)^"th" "observation" + (30/2 + 1)^"th" "observation")/2`

`= (15th "observation" + 16 th "observation")/2`

`= (3 + 3)/2`

= 3

Mode = The number (marks) with highest frequency = 3

  Is there an error in this question or solution?

APPEARS IN

 2014-2015 (March) (with solutions)
Question 3.2 | 3.00 marks
Solution The Marks Obtained by 30 Students in a Class Assignment of 5 Marks Are Given Below. Calculate the Mean, Median and Mode of the Above Distribution Concept: Median of Grouped Data.
S
View in app×