Give a five number summary.
1.74, 1.76, 1.78, 1.78, 1.80, 1.82, 1.83, 1.83, 1.85, 1.85, 1.86, 1.88, 1.88, 1.92
minimum: 1.74
maximum: 1.92
what are the other summmaries am I missing ?
You also need the
first quartile
median
third quartile
(Broken Link Removed)
the median I got was 1.83+1.83= 3.66 divided by 2 = 1.86
still working on q1 and q2
q1 = 1.78
q3= 1.86
are these correct?
You're making it more complicated (and your arithmetic is wrong).
The median is 183.
sorry typo 1.83 is what I meant..I tend to switch numbers for some reason... sorry
Yes. Your first and third quartiles are right. :-)
I tend to switch numbers around this is reason why I need alot of help with math and for good teachers to check over my work... thank you again
You're very welcome. And you're doing great! :-)
To find the other summaries, you need to calculate the following statistics:
1. Median: The median is the middle value of the data set when it is arranged in order. To find the median, you first need to sort the numbers in ascending order:
1.74, 1.76, 1.78, 1.78, 1.80, 1.82, 1.83, 1.83, 1.85, 1.85, 1.86, 1.88, 1.88, 1.92
Next, count the number of values (in this case, 14). Since it is an even number, the median is the average of the two middle values. In this case, the 7th and 8th values are both 1.83. Therefore, the median is 1.83.
2. First quartile (Q1): The first quartile is the median of the lower half of the data set. To find the first quartile, you need to find the median of the values from the minimum to the median. In this case, the values between the minimum (1.74) and the median (1.83) are:
1.74, 1.76, 1.78, 1.78, 1.80, 1.82
Sorting these values in ascending order:
1.74, 1.76, 1.78, 1.78, 1.80, 1.82
The median of these values is 1.78, so Q1 is 1.78.
3. Third quartile (Q3): The third quartile is the median of the upper half of the data set. To find the third quartile, you need to find the median of the values from the median to the maximum. In this case, the values between the median (1.83) and the maximum (1.92) are:
1.83, 1.83, 1.85, 1.85, 1.86, 1.88, 1.88, 1.92
Sorting these values in ascending order:
1.83, 1.83, 1.85, 1.85, 1.86, 1.88, 1.88, 1.92
The median of these values is 1.855, so Q3 is 1.855.
So, the five number summary for the given data set is:
Minimum: 1.74
First Quartile (Q1): 1.78
Median: 1.83
Third Quartile (Q3): 1.855
Maximum: 1.92