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PSAT 1.6 Math Diagnostic 213 Views


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Description:

PSAT 1.6 Math Diagnostic. Which of the following is most likely to be an accurate statement about Americans over the age of 25 in 2011 with a Bachelor's Degree?


Transcript

00:00

Thank you We sneak And here's your shmoop du jour

00:05

brought to you by the study of mankind Oh the

00:09

humanities All right check out this table Survivors connect to

00:13

the level you sent around Damn it All right in

00:18

two thousand eleven there were approximately fifty nine million americans

00:21

over the age of twenty five with a bachelor's degree

00:24

using the data from the survey which of the following

00:26

is most likely to be an accurate statement about americans

00:29

over the age of twenty five in two thousand eleven

00:31

with a bachelor's degree your pencil answers and uh that

00:35

makes sense of my looking table Okay we're looking for

00:38

the one accurate statement which means we've got three impostors

00:41

on the loose it's our job to round them up

00:43

and then we'll send him jail Just call it mission

00:46

in pasta rebel or don't like okay so before we

00:50

get to the answer choices let's grab a nearby scalpel

00:53

hopefully have one handy and dissect this sucker question tells

00:57

us that in two thousand eleven there were approximately fifty

00:59

nine million americans over the age of twenty five with

01:01

a bachelor's degree Well looking at where the total column

01:05

is and the total roe in our table we can

01:08

see that there were nine hundred thirty nine thousand seven

01:11

hundred six people surveyed that's Just a bit fewer than

01:14

fifty nine million So how are we supposed to know

01:17

anything about all those other folks Considering we have fewer

01:20

than a million results now Unfortunately that simple idea of

01:23

serving as long as there's a large enough sample size

01:26

and almost a million sounds pretty good sized to us

01:29

We can rely on the percentages to tell us something

01:32

about the bigger picture How much is nine hundred thirty

01:36

nine thousand seven hundred fifty six in relation of fifty

01:39

nine million Well we can figure that out simply by

01:41

dividing them one into the other So nine three nine

01:44

seven five six divided by fifty nine million is point

01:47

pull one five nine In other words the people surveyed

01:51

represent roughly one point five Nine percent of the total

01:55

population of twenty five and over Bachelor degree holders Now

01:59

let's check out the first answer choice option A about

02:01

nine point two million women would have held a bachelors

02:05

degree in science and engineering Well according to our table

02:09

there were sixty five Thousand seven hundred sixty one Women

02:11

with a bachelor degree in science and engineering That's based

02:14

on the surveys Sample size How many are likely to

02:17

fall into that category out of the entire fifty nine

02:20

million We'll figure that out We need to know how

02:22

many times One point five nine goes into one hundred

02:26

Okay division time hundred divided by one point five Nine

02:29

is a sixty two point eight nine called sixty three

02:32

What that means is that any number in our table

02:35

can be multiplied by sixty two point eight nine And

02:38

we'll have a pretty good idea of how many men

02:40

are Women could be expected to fall into this or

02:43

that category when we take absolutely everybody into account So

02:47

for option a we take sixty five thousand seven hundred

02:49

sixty one multiplied by sixty two point eight nine to

02:51

get around four point one million Not quite The nine

02:54

point two million we need Is it all right let's

02:56

Try another one See about twenty seven point eight million

02:59

men would have held a bachelor's degree in arts and

03:02

humanities Well going back to our table Looks like of

03:05

the men surveyed Two Hundred forty four thousand seven hundred

03:07

eighty two of them had degrees in arts and humanities

03:10

multiplying that by sixty two point eight nine we get

03:12

about fifteen point four million not even in the neighborhood

03:16

What about d About three point two million men would

03:18

have held a bachelor's degree in education Well here we

03:21

take fifty seven thousand two hundred seventy nine and multiply

03:23

that by sixty two point eighty nine which would give

03:26

us around three point six million blue clothes but no

03:29

peace pipe Well then hopefully option b works out about

03:32

twelve point Eight million women would have held a bachelor's

03:35

degree in arts and humanities So two hundred three thousand

03:38

six hundred ninety one time sixty two point eight nine

03:40

and we get twelve point eight million it's a match

03:44

The imposters have been apprehended and what old man Wilkins 00:03:48.083 --> [endTime] uh we should have known

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