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Measures of Central Tendency — Economics STD 11 Commerce — Question

CBSE BoardEnglish MediumSTD 11 CommerceEconomicsMeasures of Central Tendency1 Mark
Question
Average marks of three sections of Class XI is given below. Calculate combined mean from the data.
Section
Mean Marks
Number of students
A
75
50
B
60
60
C
55
50
✓

Answer

Combined Mean $(\overline{\text{X}}_1,\overline{\text{X}}_2,\overline{\text{X}}_3)=\frac{\text{N}_1\overline{\text{X}}_1+\text{N}_2\overline{\text{X}}_2+\text{N}_3\overline{\text{X}}_3}{\text{N}_1+\text{N}_2+\text{N}_3}$$=\frac{(50\times75)+(60\times60)+(50\times55)}{50+60+50}$
$=\frac{3750+3600+2750}{160}$
$=\frac{10100}{160}$
$=63.12$

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