2. Five students reported the amount of time (in minutes) they spent studying for an AP Statistics test the night
before the test. The mean of the reported times is 45 minutes and the standard deviation is 10 minutes.
(a) Interpret the standard deviation in context.
(b) A 6 student reported that they studied for 50 minutes. How would the addition of this student to the
data set affect the value of the mean and the standard deviation? Explain your answers.

Question

03-10-2021
Mathematics

Answered

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2. Five students reported the amount of time (in minutes) they spent studying for an AP Statistics test the night
before the test. The mean of the reported times is 45 minutes and the standard deviation is 10 minutes.
(a) Interpret the standard deviation in context.
(b) A 6 student reported that they studied for 50 minutes. How would the addition of this student to the
data set affect the value of the mean and the standard deviation? Explain your answers.

Sagot :

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revlogic revlogic · Answer 1 · 2021-10-03T00:21:34-04:00

Answer:

Step-by-step explanation:

a) Standard deviation of 10 mean the fluctuation for values range from +10 to -10 from the mean.

b) Since the sixth student is 50 minutes, which is higher than the mean of 45 minutes, this will bring the over all mean higher that 45 minutes. Also, since 50 falls within the standard deviation range (35 to 55), this mean the new standard deviation will be smaller than 10.

Sagot :

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