nisha87
22.10.2019 •
Mathematics
Height, in meters, is measured for each person in a sample. after the data are collected, all the height measurements
are converted from meters to centimeters by multiplying each measurement by 100. which of the following statistics
will remain the same for both units of measure?
(a) the mean of the height measurements
(b) the median of the height measurements
(c) the standard deviation of the height measurements
(d) the maximum of the height measurements
(e) the z-scores of the height measurements
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Ответ:
(E) The z-scores of the height measurements
Step-by-step explanation:
Mean is given by
Where,
n = Number of people
= The heights of people
When converting m to cm the mean would be
So, the mean would change
The median gives us the middle data value when the data values are in ascending order.
So, the median would change
Standard deviation
When converting to centimeters
Hence, the standard deviation would change
When converting to centimeters the maximum height in meters would be the maximum height in centimeters also.
The z score is given by
where,
x = Data point
= Mean
= Standard deviation
When converting to centimeters
Hence, the z score would remain the same
Ответ:
l = 12 is the answer