hala201490
03.02.2020 •
Mathematics
Which data set has the greatest spread for the middle 50% of its data?
a) {18, 13, 22, 17, 21, 24}
b) {17, 19, 22, 26, 17, 14}
c) {13, 17, 12, 21, 18, 20}
d) {18, 21, 16, 22, 24, 15}
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Ответ:
Option C.
Step-by-step explanation:
The highest Interquartile range represents the greatest spread for the middle 50% of its data.
Find the IQR of each data set.
Option A,
18, 13, 22, 17, 21, 24
Arrange the data in ascending order.
13, 17, 18, 21, 22, 24
Divide the data in 4 equal parts.
(13), 17, (18), (21), 22, (24)
Formula for IQR :
The IQR of first data set is
The IQR of the first data set is 5.
Similarly,
Option B,
17, 19, 22, 26, 17, 14
Arrange and divide the data in 4 equal parts.
(14), 17, (17), (19), 22, (26)
The IQR of the second data set is 5.
Option C,
13, 17, 12, 21, 18, 20
Arrange and divide the data in 4 equal parts.
(12), 13, (17), (18), 20, (21)
The IQR of the third data set is 7.
Option D,
18, 21, 16, 22, 24, 15
Arrange and divide the data in 4 equal parts.
(15), 16, (18), (21), 22, (24)
The IQR of the third data set is 6.
The IQR of third data set is highest, therefore third data set has the greatest spread for the middle 50% of its data.
Therefore, the correct option is C.
Ответ:
The options are
Step-by-step explanation:
Given the fraction
Any option that gives a form equivalent to any of the above is valid.
Option B= which is equivalent
In Option D:
In Option F:
Therefore, Options B, D and F are equivalent.