arrow
arrow
arrow
The median of the following data is 350. Class Interval Frequency 0-100 4 100-200 6 200-300 x 300-400 10 400-500
Question

The median of the following data is 350.

Class Interval
Frequency
0-100
4
100-200
6
200-300
x
300-400
10
400-500
y
500-600
8

What are the values of x and y if the total frequency is 40?

A.

x = 8, y = 4

B.

x = 6, y = 6

C.

x = 5, y = 7

D.

x = 3, y = 9

Correct option is C

Given:
Median = 350
Total frequency = 40
Sum of frequencies: 4 + 6 + x + 10 + y + 8 = 40

Formula Used:
Median = L+N2cff×h L + \frac{\frac{N}{2} - cf}{f} × h​​

Solution:
From the sum of frequencies:
28 + x + y = 40
x + y = 12
Since the median is 350, the median class is 300-400.
Lower limit L = 300
Class width h = 100
Frequency of median class f = 10
Cumulative frequency of class preceding median class cf = 4 + 6 + x = 10 + x
Total frequency N = 40, so N2 \frac{N}{2}​ = 20
Applying the median formula:
350 = 300+20(10+x)10×100300 + \frac{20 - (10 + x)}{10} × 100​​
50 = 10x10×100 \frac{10 - x}{10} × 100​​
50 = (10 - x) × 10
5 = 10 - x
x = 5
Substitute x = 5 into the equation x + y = 12:
5 + y = 12
y = 7

Final Answer
So the correct answer is (c)

Free Tests

Free
Must Attempt

RRB NTPC UG Level PYP (Held on 7 Aug 2025 S1)

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

CBT-1 Full Mock Test 1

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

RRB Group D Full Mock Test 1

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English

Similar Questions

test-prime-package

Access ‘RRB Section Controller’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
530k+ students have already unlocked exclusive benefits with Test Prime!

Similar Questions

Our Plans
Monthsup-arrow