Mathematics, 15.10.2020 08:01, elijahjacksonrp6z2o7
The accompanying data represent the monthly rate of return of a certain company's common stock for the past few years. Complete parts (a) and (b) below.
a. Determine and interpret the quartiles
1. The first quartile is Q1:
2. The second quartile is Q2:
3. The third quartile is Q3:
b. Interpret the quartiles. Choose the correct answer below.
a. All monthly returns within one standard deviation of the mean are contained in the firstâ quartile, all monthly returns within two standard deviations of the mean are contained in the secondâ quartile, and all monthly returns within three standard deviations of the mean are contained in the third quartile.
b. The first quartile is the lower bound of plausible monthlyâ returns, and the third quartile is the upper bound of plausible monthly returns. Any monthly returns outside of these bounds are outliers. The second quartile represents the most common monthly return.
c. The first quartile is one standard deviation below the meanâ (or average monthlyâ return), the second quartile is theâ mean, and the third quartile is one standard deviation above the mean.
d. Of the monthlyâ returns, 25% are less than or equal to the firstâ quartile, 50% are less than or equal to the secondâ quartile, andâ 75% are less than or equal to the third quartile.
Answers: 1
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