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Standard Deviation

Question 5 • EAP-Algebra Functions and Data Analysis B CR

The expected value in this case means .

Answer
A
if you flip a coin twice, heads will turn up 1 time
B
after repeated trials of flipping a coin twice, the average number of times heads will turn up is 1
C
after repeated trials of flipping a coin twice, the average number of times heads will turn up is 1/2

Explanation

Each coin flip has an expected 1/2 head, so for two flips the expected number of heads is 1/2 + 1/2 = 1. Expected value describes the long-run average over many repetitions, not a guarantee that every pair of flips will produce exactly one head. Thus, the correct choice is “after repeated trials of flipping a coin twice, the average number of times heads will turn up is 1.”

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