Daniel and Hector both throw shot put for their school's track and field team.
1 answer:
Answer:
Option B : Hector by 3 feet is the correct answer.
Step-by-step explanation:
Given that:
Mean of Daniel =
Mean of Daniel =
Mean of Daniel = 32 feet
Mean of Hector =
Mean of Hector = 35 feet
Therefore,
Hector has a greater mean
Difference = Hector's Mean - Daniel's Mean
Difference = 35 - 32
Difference = 3 feet
Hence,
Option B : Hector by 3 feet is the correct answer.
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Step-by-step explanation:
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75%
88.89%
Step-by-step explanation:
Given :
Mean = 70
Standard deviation = 12
Since the data is said to be extremely skewed, we apply Chebyshev's theorem rather than the empirical rule :
The minimum proportion of observation between 46 and 94
Chebyshev's theorem :
1 - 1 / k²
k = number of standard deviations from the mean
k = (94 - 70) / 12 = 24 / 12 = 2
Hence, we have ;
1 - 1/2²
1 - 1/4
1 - 0.25 = 0.75
Hence, The minimum proportion of observation between 46 and 94 is 75%
Between 36 and 106 :
k = (106 - 70) / 12 ;
k = 36/12 = 3
Hence,
1 - 1/3² = 1 - 1/9 = 8/9 = 0.8888 = 88.89%
The minimum proportion of observation between 34 and 106 is 88.89%
