Math Problem Statement

Anna wants to estimate the mean number of siblings for each student in her school. She records the number of siblings for each of 75 randomly selected students in the school. What is the statistic?

Question 2 options:

the specific number of siblings for each randomly selected student

the mean number of siblings for all students in the school

Anna

the mean number of siblings for the randomly selected students

all the students in the school

Solution

The correct answer is:

the mean number of siblings for the randomly selected students

This is because the "statistic" refers to a value that is calculated from a sample, which in this case is the mean number of siblings for the 75 randomly selected students.

Would you like further clarification on this? Here are five questions related to this concept:

  1. What is the difference between a statistic and a parameter?
  2. Why is random sampling important in statistical studies?
  3. How can Anna ensure that her sample is representative of the entire school?
  4. What is the formula for calculating the mean in a sample?
  5. How could Anna use this sample statistic to make an inference about the whole school?

Tip: When calculating statistics from a sample, the goal is often to estimate a population parameter, but the accuracy depends on the sampling method and sample size.

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Math Problem Analysis

Mathematical Concepts

Statistics
Sampling
Mean

Formulas

Mean formula: mean = (sum of all values) / (number of values)

Theorems

Law of Large Numbers
Central Limit Theorem

Suitable Grade Level

Grades 10-12