Blood pressure values are often reported to the nearest 5 mmHg (100, 105, 110, e

Question

Blood pressure values are often reported to the nearest 5 mmHg (100, 105, 110, etc.). The actual blood pressure values for nine randomly selected individuals are given below.

A sample of 26 offshore oil workers took part in a simulated escape exercise, resulting in the accompanying data on time (sec) to complete the escape:

143.2

128.6   137.4   148.4   140.0   123.7   132.0   118.3   141.5   143.2   384 351 355 362 379 425 322 395 402 372 375 372 364 368 364 329 335 394 392 369 376 358 352 409 332 398 a) Construct a stem-and-leaf play of the data numbers from Enter smallest to largest separated by spaces. Enter NONE for stems with no values Stems Leaves 32 55 33 49 34 35 6699 36 34469 37 03345 38 9 39 2347 40 23 41 42 4 How does it suggest that the sample mean and median w compare O The display is negatively skewed, so the median will be greater than the mean The display is reasonably symmetric, so the mean and median will be close. O The display is negatively skewed, so the mean will be greater than the median O The display is positively skewed, so the median will be greater than the mean The display is positively skewed, so the mean will be greater than the median

Explanation / Answer

This is the answer related to blood pressure question as it is put first.

Here different blook pressures in ascending order as put as :

118.3,123.7,128.6, 132.0,137.4,140,141.5,143.2 and148.4,

or there are total 9 numbers there that is an odd number. So byrule its median is the 5th term that is 137.4

So answer of part (a) is

Median of the reported blood pressure value is 137.4 mmHg

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PArt(b) : Now if this value 137.4 is replaced by 137.9, in that case the 5th term of above ascending series will be replaced with 137.9 and accordingly the new median blood pressure value will be 137.9 mmHg.

(It is because numbers of terms will still remain 9 only)

Answer.

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Now as the difference between two values 137.4 and 137.9 is very small as compared to given values, we can say that median is highly sensitive to rounding in small changes.

So correct answer is option A.

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