Find the mean mode and median of the following data set.
130-134
135-139
140-144
145-149
150-154
155-159
160-164
Values of frequency
5
15
28
24
17
10
01
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Answer:
Data: f: x: f(x):
130-134 5 132 5×132=660
135-139 15 137 15×137=2055
140-144 28 142 28×142=3976
145-149 24 147 24×147=3528
150-154 17 152 17×152=2584
155-159 10 157 10×157=1570
160-164 01 162 01×162=162
€f=100 €f(x)=14535
Mean=€f(x)/€f.
=14535/100.
=145.35.
Median=n+1/2.
=7+1/2.
=8/2.
=4.
Therefore 4th=24.
Mode=No mode.
Because there is no repeated numbers.
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