Not sure how to work this out can anyone help?
2 answers:
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Answer:
(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
When you're multiplying by a power of 10 such as 100, the decimal point moves two places to the right. Note that this corresponds with the number of zeroes in 100. Of course our number is going to get bigger, not smaller, which means we'd have to be going right. If we multiplied by something like 0.001, we'd also be going two places, just going smaller and to the left.