# AP Statistics 2.1 Exploring Data

AP Statistics 2.1 Exploring Data. How does this change affect the mean, standard deviation, and IQR?

AP | AP Statistics |

AP Statistics | Exploring Data |

Exploring Data | Summarizing Distributions of Univariate Data |

Language | English Language |

Sampling And Experimentation | Generalizability of Results and Conclusions |

Test Prep | AP Statistics |

### Transcript

and here the potential answers....Okay this is a three-in-one deal pretty nice [Jacobs 3-in-1 coffee packet]

when opening a peanut but not nearly as exciting when in the form of a math

problem anyway let's just divide and conquer the first thing we need to [A knight wielding a sword]

figure out is how the mean will be affected if everyone score gets five

points tacked on to it plus reminder the mean is the same as the average so now

we're just adding five points to a score or two well the average would definitely [teacher marking papers]

be affected. But since every student is getting five bonus points across the

board the mean goes up by 5 too. Although if you ask us it's not much of a bonus if [Boy in a suit throwing cash into the air]

everyone gets one we don't want to raise, if everyone gets a raise like maybe

we're too competitive for our own good so yeah imagine three people get scores of one

two and three the mean of those scores is 1 + 2 + 3 divided by 3 or 2.. Add 5 to

each of those scores and we get six seven eight the mean of those scores is

six plus seven plus 8 divided by 3 or seven! exactly five higher alright well now that we've

confirmed that tid bit of information well looks like we can kick answers D

and E to the curb we're asked next about that standard deviation but before we [magnifying glass inspecting the question]

start whipping out a formula or two let's think about this for a skinny

minute the standard deviation is about how spread out the data are from each [example of a standard deviation formula]

other well since each score is being affected in exactly the same way plus [teacher throws number into the air]

five to each the scores aren't any further apart from each other than

before so the standard deviation will stay the same kind of likes Beyonce [Two beyonces wearing sparkling dresses]

seriously she hasn't changed in 15 years what is her secret? Now the only one of

our three remaining choices that shows a standard

deviation remaining the same is answer C so it looks like that's our horse but [A horse sn*****ing]

let's double check the interquartile range too just to be sure. Well to find

the interquartile range we have to subtract the value of Q 1 the first

quartile from q3 the third quartile well since both of these scores will have had [Q1 substracted from Q3 value]

five points added to them we're going to subtract five from five and those new

points are going to cancel out completely meaning the interquartile

range won't change a lick either which is still in line with option C and [Option C ticked green]

that's going to be our answer whoa, we've got another three in one who exactly his

growing these mutant peanuts [Man with 3 heads growing peanuts]