Mathematics, 15.07.2019 16:30 dezmondadelson23

The thorax lengths in a population of male fruit flies follow a normal distribution with mean 0.785 millimeters (mm) and standard deviation 0.07 mm. what are the median and the first and third quartiles of thorax length?

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In this exercise we have to use the knowledge of distribution to calculate the value of the first and third quartiles, in this way we can say that:

$25^{th}= 0.7381 mm\\75^{th}= 0.8319 mm$

We can estimate the expected value of the various percentiles assuming the normal distribution, so we have to make the conversion as:

50th =0.785 mm

The quartiles, 25th and 75th percentile, happen about 2/3 of a predictable difference external the mean. In other words ±.67 standard departure exist 50% of the likelihood of something happening:

$25th =0.785 - (.67)(.07) \\75th = 0.785 + (.67)(.07) = 0.8319 mm$

See more about distrribuition at link

Answer from: expresslmnop

We can estimate the expected value of the various percentiles assuming the normal distribution.

The median, 50th percentile, is the mean, 0.785 mm.

Typically we remember ±1 standard deviation is 68% of the probability, so one standard deviation below the mean is 16th percentile (50-68/2) and one standard deviation above the mean is 84th percentile.

The quartiles, 25th and 75th percentile, are about 2/3 of a standard deviation away from the mean. In other words ±.67 standard deviations is 50% of the probability. It's not a commonly remembered number like 68-95-99.7, but perhaps it should be.

The 25th percentile is 0.785 - (.67)(.07) = 0.7381 mm.

The 75th percentile is 0.785 + (.67)(.07) = 0.8319 mm.

Answer from: Quest

median is the value separating the higher half of a data sample, a population or probablity distribution from the lower half.

step-by-step explanation:

say you have 3,8,7,3,1,9,8 order them from lowest to highest

if orderd it would be 1,3,3,7,8,8,9 now you take away from the lowest and the highest until you end up in the middle.

so you would remove the 1 and 9 leaving you with 5 digits remaining

when you've reached the middle that would be your answer so in this case the answer is 7

if there were two numbers left say 7 and 5 you'd and them together so 12 then divide by 2 witch would equal 6 so the answer would be 6

good luck on that project hoped i you at all

Answer from: Quest

1+1=22×1=22-1=11-1=1duh

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