High School

Give the correct notation for the mean. The average number of daily fat intake is 10.1 grams for a sample of 98 participants.

Group of answer choices:

A) µ = 98
B) Not enough information to answer this question
C) µ = 10.1
D) x-bar = 10.1
E) x-bar = 98

Answer :

In statistics, the notation for the mean depends on whether we are dealing with a sample or a population.

  1. Population Mean: The symbol [tex]\mu[/tex] (mu) is typically used to represent the mean of an entire population.

  2. Sample Mean: The symbol [tex]\bar{x}[/tex] (x-bar) is used to represent the mean of a sample.

In the given question, we are dealing with the average daily fat intake for a sample of 98 participants. The average, or mean, reported is 10.1 grams.

Therefore, since this is a sample of participants, the correct notation for the mean should be:

  • [tex]\bar{x} = 10.1[/tex]

This matches option D) x-bar = 10.1.

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