LIVE Course for free

Rated by 1 million+ students
Get app now
JEE MAIN 2023
JEE MAIN 2023 TEST SERIES
NEET 2023 TEST SERIES
NEET 2023
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
30 views
in Aptitude by (30.0k points)
closed by

What is the mean, median and mode of the set of scores given below?

23, 34, 21, 30, 25, 23


1. 26, 24, 23
2. 23, 24, 26
3. 26, 21, 30
4. 26, 24, 30

1 Answer

0 votes
by (46.1k points)
selected by
 
Best answer
Correct Answer - Option 1 : 26, 24, 23

Formula used: 

Mean = (Sum of all the observations)/Total number of observations.

Median =  [(n/2)th term + {(n/2)+1}th term]/2 (For even number of terms).

Mode = The number whose frequency is highest.

The given data is 23, 34, 21, 30, 25, 23.

The chronological order of the numbers will be:

21, 23, 23, 25, 30, 34.

The total numbers of terms are 6.

Mean = (21 +  23 +  23 +  25 +  30 +  34)/6.

Mean = 156/6.

Mean = 26.

Median = [(6/2)th term + {(6/2) + 1}th term]/2.

Median = [3rd term + 4th term]/2.

Median = (23 + 25)/2.

Median = 48/2.

Median = 24.

Mode: As only 23 is repeated twice which is highest.

Therefore, the mode is 23.

Therefore, the mean, median and mode are 26, 24 and 23 respectively.

Hence, the correct answer is "Option1: 26, 24, 23".

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

...