Study on the flySATMathOne-variable data: distributions and measures
Practice 108 One-variable data: distributions and measures questions in the app
On the SAT Math section, One-variable data: distributions and measures covers the center and spread of a distribution of values, especially mean, median, and standard deviation, and how those summaries shift when data are changed or combined.
A student has to tell what happens if a constant is added to every value, if an outlier is removed, and how to combine means of two groups of different sizes. Items may be multiple choice with options that mix up mean and median or claim spread changes when only location has shifted; others ask for a numerical mean.
A common trap is averaging two group means without weighting by group size.
Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.
Question 1Mid
Seven is added to every value in a data set. Which of the following is true about the standard deviation of the data set?
Answer: B — It stays the same.
Adding the same constant to every value shifts the data without changing its spread.
Question 2Mid
If 25 is removed from the data shown, what happens to the mean and median?
Answer: B — The mean decreases, and the median decreases.
Removing the high outlier lowers the mean; the median changes from 7 to .
Question 3Mid
A researcher measured the wingspans of 150 bats from Cave R and 50 bats from Cave S. The mean wingspan of the 150 bats from Cave R was 28 centimeters, and the mean wingspan of the 50 bats from Cave S was 34 centimeters. What was the mean wingspan, in centimeters, of all 200 bats the researcher measured?
Answer: B — 29.5
Combined mean .
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Practice 108 One-variable data: distributions and measures questions in the app
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