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Impact of Sample Size on Data

Impact of Sample Size on Data

Assessment

Interactive Video

Mathematics, Statistics, Data Analysis

6th - 8th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The lesson focuses on understanding sample variability in statistics, specifically how the ratio of sample size to population affects data variability. Through an example of counting vehicles per household, the teacher demonstrates the importance of having a proportional sample size for reliable statistical analysis. The lesson shows that increasing the sample size reduces variability and improves the accuracy of predictions about the population.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the central question of today's lesson?

How does the sample size affect the mean?

What is the effect of sample size ratio to population on data variability?

Why is random sampling important?

How do we calculate the mean of a sample?

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important for samples to be proportional?

To ensure the sample is random

To make the sample representative of the population

To increase the sample size

To improve the reliability of statistical analysis

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the practical example, what was being counted in the neighborhood?

Number of rooms per household

Number of pets per household

Number of vehicles per household

Number of people per household

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What was the mean number of vehicles in the first sample of four homes?

8

7

6

5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What was the range of the mean calculations from the small samples?

2 to 7

3 to 9

4 to 8

5 to 10

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does increasing the sample size affect the variability of the data?

It makes the data less reliable

It has no effect on variability

It decreases the variability

It increases the variability

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What was the mean number of vehicles in the first sample of 15 homes?

4.8

5.0

4.6

4.2

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