Question 31 The median of the following data is 16. Find the missing frequencies a and b, if the total of the frequencies is 70.Given
āāšš = 70
Finding
Cummulative Freq.
Since
Median = 16
15 ā 20 is median class
Median = l + (š/2 āšš)/š Ć h
Where
l = lower limit of median class
h = class-interval
n = āāšš
cf = cumulative freq.of class before median class
f = frequency of the median class
Now,
Median = l + (š/š āšš)/š Ć h
16 = 15 + (70/2 ā (24 + š))/15 Ć 5
16 ā 15 = (35 ā 24 ā š)/3
1 = (11 ā š)/3
3 = 11 ā a
a = 11 ā 3
a = 8
Also,
āāšš = 55 + a + b
70 = 55 + a + b
Putting a = 8
70 = 55 + 8 + b
70 = 63 + b
70 ā 63 = b
b = 7
Made by
Davneet Singh
Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.
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