-
Engineering and Architecture
Exams
Colleges
Predictors
Resources
-
Computer Application and IT
Quick Links
Colleges
-
Pharmacy
Colleges
Resources
-
Hospitality and Tourism
Colleges
Resources
Diploma Colleges
-
Competition
Other Exams
Resources
-
School
Exams
Top Schools
Products & Resources
-
Study Abroad
Top Countries
Resources
-
Arts, Commerce & Sciences
Exams
Colleges
Upcoming Events
Resources
-
Management and Business Administration
Colleges & Courses
Predictors
-
Learn
Law Preparation
MBA Preparation
Engineering Preparation
Medical Preparation
-
Online Courses and Certifications
Top Streams
Specializations
- Digital Marketing Certification Courses
- Cyber Security Certification Courses
- Artificial Intelligence Certification Courses
- Business Analytics Certification Courses
- Data Science Certification Courses
- Cloud Computing Certification Courses
- Machine Learning Certification Courses
- View All Certification Courses
Resources
-
Medicine and Allied Sciences
Colleges
Predictors
Resources
-
Law
Resources
Colleges
-
Animation and Design
Exams
Predictors & Articles
Colleges
Resources
-
Media, Mass Communication and Journalism
Colleges
Resources
-
Finance & Accounts
Top Courses & Careers
Colleges
Get Answers to all your Questions
- Home
- Engineering
- The mean and standard deviation of the heights of 200 individuals were found to be 160 cm and 7 cm, respectively. Later, it was discovered that a measurement of 160 cm was wrongly recorded as 155 c
The mean and standard deviation of the heights of 200 individuals were found to be 160 cm and 7 cm, respectively. Later, it was discovered that a measurement of 160 cm was wrongly recorded as 155 cm. What are the correct mean and standard deviation, respectively?
160 cm and 7 cm
161 cm and 7 cm
160 cm and 6 cm
161 cm and 6 cm
Answers (1)
To find the correct mean and standard deviation, we need to adjust the wrongly recorded measurement and recalculate these statistics.
First, let's adjust the measurement of 155 cm to the correct measurement of 160 cm.
The sum of the original 200 heights is 160 cm 200 = 32,000 cm.
We need to subtract the wrongly recorded height (155 cm) and add the correct height (160 cm) to the sum.
Corrected sum = (32,000 cm - 155 cm) + 160 cm = 32,000 cm - 155 cm + 160 cm = 32,005 cm.
The correct mean is the corrected sum divided by the number of individuals (200).
Corrected mean = 32,005 cm / 200 = 160.025 cm.
Next, let's adjust the standard deviation. Since we only changed one measurement, the impact on the standard deviation is minimal.
The corrected standard deviation remains the same as the original standard deviation, which is 7 cm.
Therefore, the correct mean is approximately 160.025 cm, and the correct standard deviation is 7 cm.
Among the given options, 160 cm and 7 cm is the closest to the correct mean and standard deviation.
JEE Main high-scoring chapters and topics
Study 40% syllabus and score up to 100% marks in JEE
