Find mean , median mode
Class 500 - 700 700-900 900 - 1800 1100-1900 1300-1500
Fi
4
3
18
2
3
VAWAR'S EVb
Answers
Step-by-step explanation:
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Answer:
C.I. fi. xi. fixi. CF
500-700. 4. 600. 2400. 4
700-900. 3. 800. 2400. 7
900-1800. 18. 1350. 24300. 25
1100-1900. 2. 1500. 3000. 27
1300-1500. 3. 1400. 4200. 30
Mean fi = 30 , fixi = 36300
Mode l = 900 , F1 = 18 , F2 = 2 , F0 = 3 , h= 200
Median n/2 = 15 , l = 900 , CF = 7 , F = 18 , h=200
Mean = fixi/fi = 36300/30 mean = 1210
mode = l+[ F1 - F0 ÷ 2(F1) - F0 - F2 ] × h
= 900+[ 18 - 3/ 2(18) - 3 - 2 ] × 200
= 900 +[ 15 / 16 - 5 ] × 200
= 900 + [ 15 / 11 ] × 200
= 900 + ( 3000 / 11 )
= 900 + 272.73
= 1172.73
median = l+ [ n/2 - CF ÷ F ] × h
= 900 + [ 15 - 7 ÷ 18 ] × 200
= 900 + [ 8÷ 18 ] × 200
= 900 + ( 1600 ÷ 18 )
= 900 + 88.9
= 988.9