3. Measurement, Errors, Data and Unit Conversion Flashcards
- Say that someone’s body temperature is measured by four different devices and the resulting four measurements are given below. Which reading has an absolute error of ±0.05 °C?
A. 38 °C
B. 37.8 °C
C. 37.85 °C
D. 37.855 °C
Answer is B: Absolute error is plus or minus half the smallest scale interval. Two times 0.05 = 0.1, so the smallest scale interval is 0.1 of a degree which applies to the 37.8 °C value.
- What can be correctly said of data that are “normally distributed”?
A. The upper and lower values of the distribution describe the healthy range of physiological values.
B. The standard deviation characterises the dispersion of data, and the variance characterises the central tendency of the data.
C. The mean and range are statistics that are strictly only applicable to normally distributed data.
D. Sixty-eight percent of all data values will be within one standard deviation from the mean.
Answer is D: Normally distributed data have this predicable relationship between their mean and the spread of values around the mean.
- If someone’s height is measured while the person is wearing shoes, the height will be overestimated. This type of error is known as which of the following?
A. Absolute error
B. Parallax error
C. Calibration error
D. Zeroing error
Answer is D: Zeroing error because in this example, the object being measured is not aligned with the start of the measuring scale.
- Which of the following metric prefixes is used to denote one thousandth of a gram?
A. Micro
B. Milli
C. Centi
D. Kilo
Answer is B: “Milli” refers to thousandth or 10−3 (nothing to do with million!).
- What is the standard deviation used for?
A. As a measure of central tendency
B. As a measure of dispersion
C. As a measure of spread of data that are normally distributed
D. As a measure of the error of the mean value
Answer is C: B is also correct but is not as good an answer as choice C.
- A bathroom scales displays a mass reading of 68.4 kg. Which one of the following could NOT be the true mass of the person standing on the scales?
A. 68.40 kg
B. 68.44 kg
C. 68.47 kg
D. 68.37 kg
Answer is C: A reading of 68.4 (i.e. stated to the nearest 0.1 kg) means that the actual value is between 68.35 and 68.44, so only 68.47 (which is closer to 68.5) is outside this range.
- Which of the following g does NOT describe a milligram?
A. 1×10^3 g
B. 1×10^−3 g
C. One thousandth of a gram
D. 0.001 g
Answer is A: This (1×103 g) is 1000 = 1 kg.
- Look at the figure of a thermometer. What is the temperature reading?
A. 15 °C
B. 15.4 °C
C. 17 °C
D. 20 °C
Answer is C: Every five-scale intervals is labelled with a number, and each interval corresponds to 1°. As the reading is two intervals above 15: 15 + 2 = 17.
- Look again at the figure of a thermometer. What is the absolute error of the temperature reading?
A. ± 0.05 °C
B. ± 0.5 °C
C. ± 1.0 °C
D. ± 5.0 °C
Answer is B: Absolute error is plus or minus half of the smallest scale interval (which is 1°); half of one is 0.5.
- What information does the “standard deviation” of a mean value tell us?
A. It gives us the healthy range of values for the measured physiological quantity.
B. It is the range within which 68% of measured values are found.
C. It tells us that the measured values are normally distributed.
D. It tells us the number of values that were used to calculate the mean.
Answer is B: C is also correct but choice B is the better answer.
- On a clinical thermometer where the smallest scale interval is 0.1 °C, a person’s temperature is measured to be 37.7 °C. Which of the listed temperatures could NOT be the person’s true temperature?
A. 37.72 °C
B. 37.76 °C
C. 37.67 °C
D. 37.685 °C
Answer is B: An actual value of 37.76 °C would be seen on a scale that has 0.1 as its smallest interval, as 37.8. All other values are closer to 37.7 than they are to 37.8 or to 37.6.
- How many micrograms are there in 5 mg?
A. 0.005
B. 0.5
C. 500
D. 5000
Answer is D: 1 mg is 1000μg, so 5 mg = 5000 μg.
- What does the standard deviation of the mean represent? For values that are normally distributed, it represents:
A. The value above and below the mean that includes 68% of all data values
B. The difference between the highest data value and the lowest data value
C. The average of the difference between each data value and the mean value
D. The spread of the normal distribution
Answer is A: The term “standard” in standard deviation of a distribution of measured values means that it may be relied upon to encompass 68% of all measured values.
- Given that a milligram 1 × 10−3 g, what is a microgram?
A. 1×103 g
B. 1000 mg
C. 1×10−6 g
D. 0.001 g
Answer is C: A microgram is one millionth (0.000001 or 10−6) of a gram. A = 1 kg; B = 1 g; D = 1 milligram.
- How many micrograms are there in 1 mg?
A. 0.001
B. 0.1
C. 100
D. 1000
Answer is D: 1 μg = 10−3 × 1 mg, so 1000 μg is the same as 1 mg.
- How many milligrams are there in 1 μg?
A. 0.001
B. 1000
C. 0.1
D. 1000 000
Answer is A: 1 mg = 10^3 × 1 μg, so one thousandth of a milligram is the same as one microgram.
- What is meant when a person’s mass is stated as 73.6 kg? That:
A. The mass is closer to 73.6 than it is to 73.7 or 73.5.
B. The mass is closer to 73.6 than to any other value.
C. The mass is between 73.5 and 73.7.
D. The mass is 73.6 ±0.1 kg.
Answer is A: Because the mass is stated to one decimal place, the absolute error is ±0.05.
- Which of the following statements applies to the statistic known as the “standard deviation”?
A. It is a measure of central tendency.
B. It is only applicable to qualitative measurements.
C. Standard deviation is also known as the “variance”.
D. Ninety-five percent of all data lie within two standard deviations of the mean.
Answer is D: This is the only true statement for normally distrusted data.