Measures of Central Tendency: Standard Deviation
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- Standard Deviation We've covered the measures of central tendency: mean, median, mode, and range. Say you have two sets of numbers: {−100,−50,−49,0,1,2,1000}\{-100, -50, -49, 0,…
By Nisha Devasia, Jonathan Heller, Caroline K, Anusha Rahman, Gabi Slizewska
- (Video) Standard Deviation by Math Meeting Math Meeting has a good video on how to find the standard deviation and what it is. Summary Standard deviation measures how far apart …
By Ben Ferrara, Alex Federspiel, Caroline K, Anusha Rahman, Gabi Slizewska
- Standard Deviation - What is it and how do I find it? In these set of lessons, we're learning about the measures of central tendency. We'll learn about median, mode, mean, range…
By Caroline K
Problems 21
- True or False\text{True or False}True or False === A larger standard deviation means that there is a larger spread of data in a data set.
- Find the standard deviation of the following set of data. 3,4,7,8,9,113,4,7,8,9,113,4,7,8,9,11
- What symbol is used to represent the standard deviation?
- The average salary at company A is 75,000\75,00075,000 with a 20,000\20,00020,000 standard deviation. The average salary at company B is also 75,000\75,00075,000 but has a 5,000…
- True or False\text{True or False}True or False === If two sets of data have the same average, the standard deviations will also be equal.
- If the standard deviation of a set of data is 000. What can be said about the values of that set?
- The set {2,5,6,8,9} has a certain standard deviation. If 2 is added to each element in the set i.e. {2+2,5+2,6+2,8+2,9+2}, how does the standard deviation change?
- The set {2,5,6,8,9} has a certain standard deviation. If each element in the set is multiplied by a number ccc \\ i.e. {2∗c,5∗c,6∗c,8∗c,9∗c2*c,5*c,6*c,8*c,9*c2∗c,5∗c,6∗c,8∗c,9∗c…
- The table above represents the number of cups of coffee students drink per day. The σ\sigmaσ (standard deviation) of the set above is 1.471.471.47. The mean of the set of data i…
- The table above represents the number of cups of coffee students drink per day. The σ\sigmaσ (standard deviation) of the set above is 1.471.471.47. The mean of the set of data i…
- Jennifer is shopping for new foundation makeup. She knows that foundation costs, on average, 9.50\ 9.509.50 with a low standard deviation of 2.50\ 2.502.50. Below are the prices…
- Which set has the highest standard of deviation?
- Which set has the lowest standard deviation?
- Consider the set of numbers below: 2,4,6,8,102, 4, 6, 8, 102,4,6,8,10 Which two numbers, if added to the data set, would not significantly change the standard deviation?
- Consider the set of numbers below: 2,4,6,8,102, 4, 6, 8, 102,4,6,8,10 Which two numbers, if added to the data set, would significantly increase the standard deviation?
- Consider the set of numbers below: 10,20,30,40,50,60,70,8010, 20, 30, 40, 50, 60, 70, 8010,20,30,40,50,60,70,80 Which numbers, if added to the data set, would significantly decr…
- There is a set of 100100100 numbers with an average of 101010 and a standard deviation of ddd. Which numbers, if added to the set, would definitely result in a standard deviatio…
- There is a set of 100100100 numbers with a standard deviation of ddd. If each number is multiplied by −1-1−1, what is the new standard deviation?
- There is a set of numbers that has a standard deviation of 000. What does this tell us about the numbers themselves?
- Sometimes, brands split their companies into pieces called "shares" and sell them to the public/investors so they can gain power and value. Standard deviation is one of many thi…
- Sometimes, brands split their companies into pieces called "shares" and sell them to the public/investors so they can gain power and value. Standard deviation is one of many thi…