Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Find the five number summary for the data set shown below.

5, 3, 2, 8, 1, 5, 6, 13



Minimum:

Q1 (Quartile 1):

Median (Q2):

Q3 (Quartile 3):

Maximum:

Sagot :

Min: 1

Q1: 2.5

Q2: 5

Q3: 7

Maximum: 13

Answers:

  • Min = 1
  • Q1 = 2.5
  • Median = 5
  • Q3 = 7
  • Max = 13

============================================================

How to find those answers:

The first step is to sort the data from smallest to largest.

Here is what it looks like after sorting:

1, 2, 3, 5, 5, 6, 8, 13

The middle most items are those two copies of '5'. It's a tie between them.

The midpoint is (5+5)/2 = 10/2 = 5

Therefore, the median or Q2 is 5

--------------

Next we split the data into two groups

L = {1,2,3,5} = lower set of first four items

U = {5,6,8,13} = upper set of last four items

Find the median of set L to get (2+3)/2 = 5/2 = 2.5

Then find the median of set U to get (6+8)/2 = 14/2 = 7

These medians of the subsets mentioned are the values of Q1 and Q3 respectively

Q1 = 2.5

Q3 = 7

----------------

Lastly the min and max are the smallest and largest items.

In this case 1 is the smallest and 13 is the largest

min = 1

max = 13

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.