Question 1(Multiple Choice Worth 1 points) (05.02 MC)

The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either from Rome, Italy, or New York, New York:

Maximum Minimum Q1 Q3 IQR Median Mean σ
Rome 16 0 3 13 10 8.5 8 5.4
New York 20 1 4.5 6 1.5 5.5 7.25 5.4

Which of the choices below best describes how to measure the center of these data?
Both centers are best described by the mean.
Both centers are best described by the median.
The Rome data center is best described by the mean. The New York data center is best described by the median.
The Rome data center is best described by the median. The New York data center is best described by the mean.

Option (C): The Rome data center is best described by the mean. The New York data center is best described by the median.

Step-by-step explanation:

1. Rome

Minimum=0

Maximum=16

Median ,

Mean = 8

Standard Deviation(σ)=5.4

As, difference between , Maximum -Mean =Mean - Minimum=8

So, Mean will Worthy description to find the center of Data set, given about Rome.

2. New York

Minimum=1

Maximum=20

Median , Q2 = 5.5

Mean = 7.25

Standard Deviation(σ)=6.1

As, for New york , Mean is not the mid value, that is difference between Mean and Minimum is not same as Maximum and Mean.

As, you can see , the three Quartiles ,  are very close to each other, it means , other data values are quite apart from each other. So, Mean will not  appropriately describe the given data.So, in this case Median will suitable to find the center.

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (

10+4√2 is the answer. i dont have the time to explain.