If We Have a Data Set with a Mean of 12

question 44

Multiple Choice

If we have a data set with a mean of 12 and a variance of 3, what are the new mean and variance if we add 5 to all the values, then multiply them by 2?

• A) Mean = 29, variance = 6
• B) Mean = 29, variance = 12
• C) Mean = 34, variance = 6
• D) Mean = 34, variance = 12

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Definitions:

Physical Environment

The external surroundings and conditions in which an organism lives, including natural and man-made environments.

Lev Vygotsky

A Russian psychologist known for his work on cognitive development, particularly the social development theory which emphasizes the role of social interaction in the development of cognition.

Social Mentoring

A supportive relationship where an experienced individual guides and assists another in social contexts, including personal development and networking.

Preoperational Stage

A stage in Piaget's theory of cognitive development, where children aged 2 to 7 years old develop memory and imagination, but do not yet think logically.