a. what quarter has the smallest spread of data?\nsecond\nfirst\nthird\nfourth\nb. what is that…

a. what quarter has the smallest spread of data?\nsecond\nfirst\nthird\nfourth\nb. what is that spread?\ni\nc. what quarter has the largest spread of data?\nfirst\nthird\nsecond\nfourth\nd. what is that spread?\ne. find the inter quartile range (iqr):\nf. which interval has the most data in it?\n30 - 36\n36 - 42\n42 - 100\n26 - 29

a. what quarter has the smallest spread of data?\nsecond\nfirst\nthird\nfourth\nb. what is that spread?\ni\nc. what quarter has the largest spread of data?\nfirst\nthird\nsecond\nfourth\nd. what is that spread?\ne. find the inter quartile range (iqr):\nf. which interval has the most data in it?\n30 - 36\n36 - 42\n42 - 100\n26 - 29

Answer

Explanation:

Step1: Identify quartile ranges

First - from 24 to 27, spread is (27 - 24=3). Second - from 27 to 29, spread is (29 - 27 = 2). Third - from 29 to 36, spread is (36 - 29=7). Fourth - from 36 to 42, spread is (42 - 36 = 6).

Step2: Answer part a

The second quartile has the smallest spread.

Step3: Answer part b

The spread of the second quartile is 2.

Step4: Answer part c

The third quartile has the largest spread.

Step5: Answer part d

The spread of the third quartile is 7.

Step6: Calculate IQR

IQR = Third - First quartile. First quartile value is 27, third quartile value is 36. So (IQR=36 - 27=9).

Step7: Answer part f

The box - and - whisker plot shows that the middle 50% of the data (from 27 to 36) has the most data. The interval (30 - 36) is part of this middle 50% range.

Answer:

a. Second b. 2 c. Third d. 7 e. 9 f. 30 - 36