Understanding Data Spread: Introduction to Standard Deviation
This worksheet introduces sixth graders to the concept of data spread and how standard deviation helps us understand it, using simple examples and visual aids.
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Understanding Data Spread: Introduction to Standard Deviation
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Read each question carefully and answer to the best of your ability. This worksheet will help you understand how data can be spread out or clustered together.
What is Data Spread?
Imagine you have a group of friends, and you want to know their heights. If everyone is about the same height, the data is 'clustered'. If some friends are very tall and some are very short, the data is 'spread out'. Standard deviation is a way to measure how spread out the data is.
1. When data points are very close to each other, we say the data is .
2. When data points are far apart, we say the data is .
3. Standard deviation helps us measure the of data.
Look at the two number lines below. Each dot represents a student's score on a quiz out of 10 points.
Data Set A:
Data Set B:
1. Which data set (A or B) shows scores that are more spread out?
2. Which data set would likely have a larger standard deviation?
1. If a data set has a small standard deviation, what does that tell us about the data?
The data points are very spread out.
The data points are clustered close together.
The data has many outliers.
The data points are all the same.
1. A large standard deviation means the data is very consistent.
True
False
Imagine two basketball teams. Team A's players all have similar heights. Team B's players have a wide range of heights (some very short, some very tall).
1. Which team would likely have a smaller standard deviation in player heights? Explain why.