Find the mean of the following frequency distribution : Classes quad 25-30 quad 30-35 quad 35-40 quad 40-45 quad 45-50…

CBSE Class 10 Maths PYQ · Statistics · Find Mean, median, mode · 3 Marks · March 2023 · Standard

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303 Marks · March 2023 · Standard
Find the mean of the following frequency distribution :
Classes
quad $25-30$
quad $30-35$
quad $35-40$
quad $40-45$
quad $45-50$
quad $50-55$
quad $55-60$
Frequency
quad $14$
quad $22$
quad $16$
quad $6$
quad $5$
quad $3$
quad $4$
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C.I.
quad $x$
quad $f$
quad $u = \frac{x - 42.5}{5}$
quad $fu$
$25-30$
quad $27.5$
quad $14$
quad $-3$
quad $-42$
$30-35$
quad $32.5$
quad $22$
quad $-2$
quad $-44$
$35-40$
quad $37.5$
quad $16$
quad $-1$
quad $-16$
$40-45$
quad $42.5$
quad $6$
quad $0$
quad $0$
$45-50$
quad $47.5$
quad $5$
quad $1$
quad $5$
$50-55$
quad $52.5$
quad $3$
quad $2$
quad $6$
$55-60$
quad $57.5$
quad $4$
quad $3$
quad $12$
quad
quad
quad
quad $70$
quad
quad
quad
quad $-79$
Mean $= 42.5 - \frac{79}{70} \times 5 = 36.86$
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