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The least count of an instrument is inversely proportional to the precision of the instrument. For example, a sundial might only have scale marks representing hours, not minutes; it would have a least count of one hour. A stopwatch used to time a race might resolve down to a hundredth of a second, its least count. The stopwatch is more precise ...
So for a vernier with a constant of 0.1, each mark on the vernier is spaced 9/10 of those on the main scale. If you put the two scales together with zero points aligned, the first mark on the vernier scale is 1/10 short of the first main scale mark, the second is 2/10 short, and so on up to the ninth mark, which is misaligned by 9/10.
If a length measurement gives 0.052 km, then 0.052 km = 52 m so 5 and 2 are only significant; the leading zeros appear or disappear, depending on which unit is used, so they are not necessary to indicate the measurement scale. 0.00034 has 2 significant figures (3 and 4) if the resolution is 0.00001.
Least count means the minimum value that an instrument can read which is 30 minutes in case of prismatic compass. It means compass can read only those observations which are multiples of 30 minutes, 5 ° 30 ' , 16 ° 00 ' , 35 ° 30 ' , for example.
Unlike a linear scale where each unit of distance corresponds to the same increment, on a logarithmic scale each unit of length is a multiple of some base value raised to a power, and corresponds to the multiplication of the previous value in the scale by the base value. In common use, logarithmic scales are in base 10 (unless otherwise specified).
Data source: Social Security Administration. What's the average Social Security benefit at ages 62, 67, and 70? Although every age within the traditional collection range of 62 through 70 has its ...
The estimator of a proportion is ^ = /, where X is the number of 'positive' instances (e.g., the number of people out of the n sampled people who are at least 65 years old). When the observations are independent , this estimator has a (scaled) binomial distribution (and is also the sample mean of data from a Bernoulli distribution ).
Image source: Getty Images. 7. Bank of America. Money-center goliath Bank of America (NYSE: BAC) is my longest-tenured holding (since 2011), and at this point one of the stocks I'm least likely to ...
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