Question

The table shows data from a survey about the amount of time students spend doing homework each week. The students were either in college or in high school:

High Low Q1 Q3 IQR Median Mean σ
College 50 5 7.5 15 7.5 11 13.8 6.4
High School16 0 9.5 14.5 5 13 10.7 5.3

Which of the choices below best describes how to measure the spread of this data?
(Hint: Use the minimum and maximum values to check for outliers.)

Answer 1

@paki
@ParthKohli
@UnknownRandom

Answer 2

Here are the answer choices:
Both spreads are best described with the IQR.

Both spreads are best described with the standard deviation.

The college spread is best described by the IQR. The high school spread is best described by the standard deviation.

The college spread is best described by the standard deviation. The high school spread is best described by the IQR.

Answer 3

when is it best to use the IQR?

Answer 4

High Low Q1 Q3 IQR Median Mean σ
College 50 5 7.5 15 7.5 11 13.8 6.4
High School 16 0 9.5 14.5 5 13 10.7 5.3

Answer 5

Its best when there are no obvious outliers @amistre64

Answer 6

would you agree that the college has an outlier? 50 is pretty far outside the IQR to me

Answer 7

yes because for the other one the high is only 16

Answer 8

college 5---7.5---11---15------------------------ 50

High School 0--------9.5---13-14.5--16


hmmm, high school may have 0 as an outlier as well

Answer 9

i have no good idea what the correct option is; but these are just my observations.

Answer 10

any ideas????

Answer 11

if the rule you stated is correct: The IQR is best when there are no obvious outliers

then id say neither one is good for the IQR

Answer 12

so B? @amistre64

Answer 13

IF your rule is stated correctly, and thats all i have to go on at the moment .... then yes :) but i cant verify that.

Answer 14

ok so can you CHECK a few Ive got?

Answer 15

you check these cause ill be gone for 20 mins ill be back ok!
Question 3 (Multiple Choice Worth 1 points)

[06.02]

The table shows data for a class's mid-term and final exams:

Mid-Term Final
96 100
95 85
92 85
90 83
87 83
86 82
82 81
81 78
80 78
78 78
73 75

Which data set has the smallest IQR?
They have the same IQR.

Mid-term exams

Final exams

There is not enough information.

I say B

Question 7 (Multiple Choice Worth 1 points)

[06.02]

The table shows data from a survey about the number of times families travel by car or taxi during an average week. The families are either from a rural town (population under 5,000) or a large city (population over 1 million):

Rural Town City
5 0
6 0
7 1
8 1
15 5
25 8
25 9
35 10
36 12
40 18
42 38

Which of the choices below best describes how to measure the center of this data?
Both centers are best described with the mean.

Both centers are best described with the median.

The country data center is best described by the mean. The city data center is best described by the median.

The country data center is best described by the median. The city data center is best described by the mean.

I say C

Question 9 (Multiple Choice Worth 1 points)

[06.02]

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:

High Low Q1 Q3 IQR Median Mean σ
Rome 21 1 1.5 7.5 6 4.5 6.5 6.6
New York 20 1 3.5 7.5 4 5 6.5 5.2

Which of the choices below best describes how to measure the center of this data?
Both centers are best described with the mean.

Both centers are best described with 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.

I say B

Question 10 (Multiple Choice Worth 1 points)

[06.02]

The table shows data from a survey about the amount of time, in hours, high school students spent reading and the amount of time spent watching videos each week (without reading):

Reading Video
3 1
3 2
4 3
5 4
6 6
7 7
10 8
12 8
14 9
30 15

Which response best describes outliers in these data sets?
Reading has a suspected outlier in the 30-hour value.

Reading has a suspected outlier in the 30-hour value, and video has a possible outlier in the 15-hour value.

Neither data set has suspected outliers.

The range of data is too small to identify outliers.

I say A

Answer 16

Mid Fin
96 100
95 85

92 85 q
90 83
87 83
86 82
82 81
81 78
80 78 q

78 78
73 75

92 85
-80 -78
---- ----
8 7
7 is smaller than 8

Answer 17

and on the last one, you might want to double check your understanding of an outlier.

Answer 18

the other 2 i cant verify, i was never good at those to start with :)