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
789 views
in Measures of Central Tendency by (31.2k points)
closed by

Following table shows the age of patients admit in Hospital :

Age (in yrs.) 5-15 15-25 25-35 35-45 45-55 55-65
No. of families 6 11 21 23 14 5

Find mode and mean. Compare two central measures and explain. them.

1 Answer

+1 vote
by (35.3k points)
selected by
 
Best answer

For Mode : Here maximum frequency is 23 and its corresponding class is 35 – 45.

So, modal class 35 – 45

∴ l = 35, f0 = 21, f1 = 23, f2 = 14, h = 10

Thus, mode = 36.8 yrs.

For Mean : Let assumed mean A = 40

∵ Arithmetic mean (\(\overline { x }\)) = A + \(\frac { { \Sigma f }_{ i }{ d }_{ i } }{ { \Sigma f }_{ i } } \) = 40 – \(\frac { 370 }{ 80 }\) 

= 40 – 4.625 = 35.375

Thus, mode of data = 36.8 years. and mean = 35.375 years.

Maximum age of patients admit in hospital is 36.8 years. where as average age of patients admit is hospital is 35.57 yrs.

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.

...