HELPPPP MEEEEE!!!!!!!
1 answer:
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Answer:
a) s = 8.81
b) Q1 = 43.4, Q2 = 49.4, Q3 = 57.35
c) See below
Step-by-step explanation:
(a) Find the standard deviation of the reflectance for these smolts. (Round your answer to two decimal places.)
In order to find the standard deviation, we need the mean first. The mean is defined as
where the are the values of the data collected and n=50 the size of the sample.
So, the mean is
Now, the standard deviation of the sample is defined as
and we have that our standard deviation is
s = 8.81
(b) Find the quartiles of the reflectance for these smolts
To find the quartiles, we must sort the data from lowest to largest:
33.6, 37.7, 38.3, 38.7, 42, 42, 42.2, 42.4, 42.7, 42.8, 42.9, 43.1, 43.7, 43.8, 44.2, 44.6, 45.5, 45.7, 46.3, 46.6, 47.4, 47.6, 47.7, 47.9, 49.2, 49.6, 50.5, 50.9, 51.3, 53, 53.9, 54.8, 54.9, 55.5, 56, 56, 56.2, 57.1, 57.6, 58.3, 59, 59.5, 60.4, 63.2, 63.4, 63.5, 64.6, 68, 69.1, 69.2
The <em>first quartile</em> is the number between the 12th and the 13th data (so 25% of the data are below it and 75% above it)
So the 1st quartile is
The <em>2nd quartile is the median</em>, the point between the 25th and 26th data, it splits the data in two halves.
The 3rd quartile is the point between the 38th and 39th data (so 75% of the data are below it and 25% above it)
(c) Do you prefer the standard deviation or the quartiles as a measure of spread for these data? Give reasons for your preference.
In this case, we prefer the quartiles as a measure of spread since the data are very scattered around the mean and there is no a central tendency.
Answer: Yes it will, 3.75
Step-by-step explanation:
Ok lets break this down. Let's break it down like a EUROBEAT dubstep track hot off the rack (oh yea).
Look: area is width times height. ok... interesting.
Lets put this in some FANCY LOOKING EQUATION.
........can we actually replace some words with what we have in the question? OH YEA WE CAN.
DUDE. THERES ONLY ONE VARIABLE MISSING theoretically we can do some ALGEBRA and find out what the height is. ok? this sounds cool but man these fractions are annoying so lets convert them into numbers. what is 1 / 16? put that in a calculator, slam it in like youre putting a BAKED APPLE PIE in the oven and pull it out and 1 / 16 is equal to 0.0625. ok so lets combine that with 14. and we get 14.0625 (this is convenient).
can we do the same process with the other number? 3 / 4 is equal to 0.75. combine it with 3 and we get 3.75.
WOW I DONT KNOW ABOUT YOU BUT THIS LOOKS A LOT CLEANER.
lets do some algebra and this means that we must do opposite on both sides. 3.75 times the height.. what is the opposite of this? 3.75 divided by height. divide 3.75 on both sides by slamming it into a calculator like youre putting an apple pie in the oven and (14.0625 divided by 3.75)
the answer is 3.75. INTERESTING! THE HEIGHT IS 3.75!
what does this mean?
it will fit. because 3.75 is less than 4. THERE IS ENOUGH SPACE! YAAAAY! we have enough space for a mirror. Yes it will. because the height is 3.75 feet.
swag.