Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
9.4k views
in Statistics by (55.4k points)
closed by

Find the missing frequency of the following incomplete frequency distribution if the median is 46 and find the mean of the complete distribution.

1 Answer

+1 vote
by (44.5k points)
selected by
 
Best answer

Given Median =46

Then, median Class = 40 – 50

the lower limit (l) = 40

cumulative frequency of the class preceding 40 – 50 (cf) = 42 + x

frequency of the median class 40 – 50 = 65,

class size (h) = 10

Total frequencies (n) = 229

So, 150 + x + y = 229

⇒ x + y = 229 – 150

⇒ x + y = 79 …(i)

and n/2 = 229/2 = 114.5

Using the formula,

⇒39 = 72.5 – x

⇒ x = 33.5

Putting the value of x in eq. (i), we get

⇒ 33.5 + y = 79

⇒ y = 79 – 33.5

⇒ y = 45.5

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...