SOMEONE PLEASE HELP! A survey of a group of seventh graders and a group of teachers at a local middle school asked how many sibl
ings they each have. The dot plots below show the results.
Students
Teachers
Which compares the medians of the data?
The median for the students is 4 and the median for the teachers is 8.
The median for the students is 2 and the median for the teachers is 3.
The median for the students is 4 and the median for the teachers is 3.
The median for the students is 2 and the median for the teachers is 8.
Students
Teachers
Which compares the medians of the data?
The median for the students is 4 and the median for the teachers is 8.
The median for the students is 2 and the median for the teachers is 3.
The median for the students is 4 and the median for the teachers is 3.
The median for the students is 2 and the median for the teachers is 8.
2 answers:
<em>Note: You may have missed to add the dot plots chart, so I found the chart after a little research and hence, I am attaching it and based on that dot plot chart I am solving the question which anyways would clear you concept.</em>
Answer:
''The median for the students is 2 and the median for the teachers is 3'' is the right option which compares the medians of the data.
Step-by-step explanation:
Data for students from the dot plot in order
Calculating Median for students:
0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4
As you can see, we do not have just one middle number but we have a pair of middle numbers i.e. 2 and 2, so the median is the average of these two numbers:
Median = (2+2)/2
=4/2
= 2
Data for teachers from the dot plot in order
Calculating Median for teachers:
0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 8
As you can see, we do not have just one middle number but we have a pair of middle numbers i.e. 3 and 3, so the median is the average of these two numbers:
Median = (3+3)/2
=6/2
= 3
Therefore, ''the median for the students is 2 and the median for the teachers is 3'' is the right option which compares the medians of the data.
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Answer:
a)
The 95% confidence interval would be given by (0.799;0.847)
b)
And rounded up we have that n=622
c)
And rounded up we have that n=1068
Step-by-step explanation:
Part a
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 95% confidence interval would be given by (0.799;0.847)
Part b
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=622
Part c
And rounded up we have that n=1068