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(a) What is the five number summary? (b) Give the range and the IQR. (c) What ca

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Question

(a) What is the five number summary?

(b) Give the range and the IQR.

(c) What can we conclude from the five number summary about the location of the 35th percentile? The 55th percentile?

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Explanation / Answer

a) Five number Summary:

Minimum= 21.300

Q1= 26.375

Median= 29.400

Q3= 31.150

Maximum= 35.100

b) Range and IQR

Range = Maximum- Minimum

Range= 35.100 - 21.300 = 13.800

IQR = Q3 - Q1 = 31.150 - 26.375 = 4.775

c) 35th percentile is in IQR range(26.375 to 31.150), covers 50% of data from 25% to 75%. and it is left part of Median. It's in the range between Q1 and Median.

55th percentile is placed right side of median and it's IQR range. It is in the range of Median and Q3.