LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
165 views
in Statistics by (59.8k points)
closed by

Find x and y so that the ordered data set has a mean of 42 and a median of 35.

17, 22, 26, 29, 34, x, 42, 67, 70, y


1. 35 & 75
2. 20 & 71
3. 40 & 80
4. 36 & 77

1 Answer

0 votes
by (117k points)
selected by
 
Best answer
Correct Answer - Option 4 : 36 & 77

Given 

Mean = 42 

Median = 35 

Formula Used 

Median = (n/2) + (n+ 1)/2th term  (n = no. of observation ) 

Mean = sum of observation/no. of observation

Calculation 

Observations are 17, 22, 26, 29, 34, x, 42, 67, 70, y

Median = 5th + 6th

⇒ x + 34 = 70  

⇒ x = 36

Mean = (17 + 22 + 26 + 29 + 34 + 36 + 42 + 67 + 70 + y)/10 

⇒ 420 = (17 + 22 + 26 + 29 + 34 + 36 + 42 + 67 + 70 + y) 

⇒ y = 77 

∴ The required answer is 36 and 77

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

...