The following table shows marks obtained by students out of 50. Determine the median.Class Interval (Marks) : Frequency0-10 : 510-20 : 820-30 : 630-40 : 640-50 : 5
निम्न तालिका में 50 में से प्राप्त अंक दिए गए हैं। माध्यिका ज्ञात कीजिए।वर्ग अंतराल (अंक) : आवृत्ति 0-10 : 5 10-20 : 8 20-30 : 6 30-40 : 6 40-50 : 5
This Question Asked In:
SSC, CGL MAINS 2026
Correct Answer :C - 23.3
Detailed Text Solution
Total frequency N = 5 + 8 + 6 + 6 + 5 = 30.
N/2 = 30/2 = 15.
Cumulative frequencies:
0-10 → 5
10-20 → 13
20-30 → 19
Since 15 lies in the class 20-30, this is the median class.
Using median formula:
Median = l + [(N/2 − cf) / f] × h
Where:
l = 20
cf = 13
f = 6
h = 10
Median = 20 + [(15 − 13)/6] × 10
= 20 + (2/6) × 10
= 20 + 3.33
= 23.33 ≈ 23.3