An EDM instrument and reflector are set at the ends of a baseline that
is 200.014 m long. Its length is measured 21 times, with the following
results: 200.014, 200.013, 200.007, 200.016, 200.011, 200.015, 200.012,
200.018, 200.014, 200.012, 200.011, 200.009, 200.019, 200.016, 200.009,
200.016, 200.015, 200.018, 200.016, 200.007, and 200.014.
(a)
What are the mean, median, and standard deviation of the data?
(b)
Construct a histogram of the data with seven intervals and
describe its properties. On the histogram lay off the sample
standard deviation from both sides of the mean.
(c)
How many observations are between
y
±
S, and what percentage
of observations does this represent?