QuestionFind the five-number summary (Min, Q1, Med, Q3, Max) from this stem & leaf plot: 1|38, 2|256, 3|25, 4|4899, 5|04467, 6103.
Studdy Solution
STEP 1
Assumptions1. The stem and leaf plot represents the data in a sorted order.
. Each stem represents the tens digit and each leaf represents the ones digit of a number.
3. The five number summary includes the minimum, first quartile (Q1), median, third quartile (Q3), and maximum of the data.
STEP 2
First, we need to convert the stem and leaf plot into a list of numbers. This can be done by combining each stem with each of its leaves.
STEP 3
Now, list all the numbers in order to make it easier to find the five number summary.
STEP 4
Identify the minimum (Min) and maximum (Max) values in the list. These are the smallest and largest numbers, respectively.
STEP 5
To find the median (Med), we need to find the middle number. If there is an even number of numbers, the median is the average of the two middle numbers. In this case, there are18 numbers, so the median is the average of the9th and10th numbers.
STEP 6
Calculate the median value.
STEP 7
To find the first quartile (Q1), we need to find the median of the first half of the numbers. Since there are18 numbers, the first half is the first9 numbers. The median of these numbers is the5th number.
STEP 8
To find the third quartile (Q3), we need to find the median of the second half of the numbers. Since there are18 numbers, the second half is the last numbers. The median of these numbers is the5th number of the second half.
The five number summary for the data isMin =13, Q1 =26, Med =48.5, Q3 =54, Max =63.
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