SUS
.
The table below shows the salaries of 280 persons:
SSS
5-10 | 10-15 | 15-20 | 20-25 | 25-30 30-35 35-40 40-45 | 45-50
Salary
(In Thousand Rs.)
No. of persons
49
63
15
6
| 7
4
2
1
JE
Calculate the median salary of the data.
Answers
Answer
= 13.42
Step-by-step explanation:
Salary(In thousand) Frequency(f) Cumulative frequency(cf)
5−10 49 49
10−15 133 182
15−20 63 245
20−25 15 260
25−30 6 266
30−35 7 273
35−40 4 277
40−45 2 279
45−50 1 280
Total no. of persons N=49+133+63+15+6+7+4+2+1=280
Now,
2
N
=140
cf≥
2
N
is 182
Median class is 10−15
f=133
Lower limit of median class l=10
c.f. above the median class is 49
Width of the interval h=5
Median =l+(
f
2
N
−c.f
)h
=10+(
133
140−49
)5=10+
133
91
×5=13.42
Hence, median =13.42