Computing percentages of funds-bienayme-chebyshev rule

Reference no: EM1320789

Q1) Consider population of 1,024 mutual funds which mainly invested in companies. It is determined that m, mean one-year total percentage return achieved by all funds, is 8.20 and s, standard deviation, is 2.75. Additionally, assume it is determined that range in one-year total return is from -2.0 to 17.1 and that quartiles are, respectively, 5.5(Q₁) and 10.5(Q₃). According to empirical rule, what percentage of these funds is expected to be

i) Within ±1 standard deviation of mean?

ii) Within ±2 standard deviation of mean?

iii) According to Bienayme-Chebyshev rule, what percentages of these funds are likely to be within ±1 standard deviation of mean?

iv) According to Bienayme-Chebyshev rule, what percentages of these funds are likely to be within ±2 standard deviation of mean?

v) According to Bienayme-Chebyshev rule, what percentages of these funds are likely to be within ±3standard deviation of mean?

vi) According to Bienayme-Chebyshev rule, at least 93.75% of these funds are likely to have one-year total returns between what two amounts?

2) Calculate mean and standard deviation for population data in table below. Mention your suppositions and illustarte all calculations,

Distance	Frequency
0 to 5	4
5 to 10	15
10 to 15	27
15 to 20	18
20 to 25	6

Reference no: EM1320789

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