In a test, the marks obtained by 100 students (out of 50 ) are given below : Marks obtained : 0-10 10-20 20-30 30-40…

CBSE Class 10 Maths PYQ · Statistics · Find Mean, median, mode · 3 Marks · March 2024 · Standard

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353 Marks · March 2024 · Standard
In a test, the marks obtained by $100$ students (out of $50$) are given below :
Marks obtained : $0-10 \quad 10-20 \quad 20-30 \quad 30-40 \quad 40-50$
Number of students : $12 \quad 23 \quad 34 \quad 25 \quad 6$
Find the mean marks of the students.
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Marks for correct table: $1\frac{1}{2}$
Marks Obtained: $0-10$, $f_i=12$, $x_i=5$, $f_ix_i=60$
Marks Obtained: $10-20$, $f_i=23$, $x_i=15$, $f_ix_i=345$
Marks Obtained: $20-30$, $f_i=34$, $x_i=25$, $f_ix_i=850$
Marks Obtained: $30-40$, $f_i=25$, $x_i=35$, $f_ix_i=875$
Marks Obtained: $40-50$, $f_i=6$, $x_i=45$, $f_ix_i=270$
Total: $f_i=100$, $f_ix_i=2400$
Mean $= \frac{2400}{100}$
$= 24$
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