Question

# The mean and standard deviation of $$10$$ observations are $$35$$ and $$2$$ respectively. Find the changed mean and standard deviation if each observation is increased by $$4$$.

A
39 & 6
B
2 & 39
C
39 & 2
D
6 & 39

Solution

## The correct option is B $$39$$ & $$2$$When each observation is increased by $$4$$, the mean of the changed observations will also increase and it will become equal to $$35+4=39$$.Since increment in all observations by a constant does not change the standard deviation. Thus, the mean and standard deviation when each observation is increased by $$4$$ would be $$39$$ and $$2$$ respectively.Economics

Suggest Corrections

0

Similar questions
View More
The text passage contains a mathematical question about the mean and standard deviation of a set of observations, and it provides an answer to this question.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
Question

# The mean and standard deviation of $$10$$ observations are $$35$$ and $$2$$ respectively. Find the changed mean and standard deviation if each observation is increased by $$4$$.

A
39 & 6
B
2 & 39
C
39 & 2
D
6 & 39

Solution

## The correct option is B $$39$$ & $$2$$When each observation is increased by $$4$$, the mean of the changed observations will also increase and it will become equal to $$35+4=39$$.Since increment in all observations by a constant does not change the standard deviation. Thus, the mean and standard deviation when each observation is increased by $$4$$ would be $$39$$ and $$2$$ respectively.Economics

Suggest Corrections

0

Similar questions
View More
user
The text passage contains a mathematical question about the mean and standard deviation of a set of observations, and it provides an answer to this question.

TYPE: SINGLE_QUESTION_WITH_ANSWER