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rewona [7]
3 years ago
11

I need answer Immediately!!!!!!

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
7 0

Step-by-step explanation:

number of hours = more than 12

above 80= 16

total sat = 33

percentage above 80 = 16 / 33 * 100

= 48.48%

to the nearest whole number = 48%

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Suppose that IQ scores have a bell-shaped distribution with a mean of 104 and a standard deviation of 15. Using the empirical ru
Harlamova29_29 [7]

Answer:

1.35%

Step-by-step explanation:

Suppose that IQ scores have a bell-shaped distribution with a mean of 104 and a standard deviation of 15. Using the empirical rule, what ? Please do not round your answer.

Empirical rule formula states that:

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

We don't know the number of Standard deviation yet , hence:

Mean = 104

Standard deviation = 15.

At least 59

Hence:

104 - 15x = 59

104 - 59 = 15x

45 = 15x

x = 45/15

x = 3

Hence, At least 59 is 3 standard deviations away from the mean on one side of the distribution thus,

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

100% - 99.7%

= 0.003

Since it is on one side of the distribution:

= 1.5% - 0.3%

= 0.015 - 0.0015

= 0.00135

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= 1.35%

The percentage of IQ scores that are at least 59 is 1.35%

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