find the mean, median and mode class internal 0-10, 10-20, 20-30, 30-40, 40-50 frequency 5,7,15,28,8
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Step-by-step explanation:
Correct option is
A
mean=35.60, median=35.667, mode=35.4545
To find the mean, mode and median of the following data
Classes 0-10 10-20 20-30 30-40 40-50 50-60 60-70
mid points 5 15 25 35 45 55 65
Frequency 5 10 18 30 20 12 5
x
i
f
i
25 150 450 1050 900 660 325
CF 5 15 33 63 83 95 100
∑f
i
x
i
=3560
Total frequency =100
∴N=
2
100
=50,
Mean=
100
3560
=35.60,
Median class is 30−40
Median=l+
f
2
N
−m
.c,
=30+
30
2
100
−33
.10
=30+
3
17
=30+5.6667=35.6667
mode=l+
Δ
1
+Δ
2
cΔ
1
Δ
1
=30−18=12,Δ
2
=30−20=10
mode=l+
Δ
1
+Δ
2
cΔ
1
=30+
22
10(12)
=30+5.4545=35.4545
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