Question

Find‌ ‌the‌ ‌average‌ ‌for‌ ‌the‌ ‌recorded‌ ‌maximum‌ ‌temperature‌ ‌in‌ ‌the‌ ‌second‌ ‌week‌ ‌of‌ ‌
May‌ ‌in‌ ‌Nellore‌ ‌of‌ ‌41,‌ ‌$39.5$,‌ ‌$38.7$,‌ ‌38,‌ ‌39,‌ ‌40‌ ‌and‌ ‌40.‌

Answer 1

Hint: We first express the given sample inputs in the given order. Then we express the individual process and formula to find sample mean or so-called average for the recorded maximum temperature in the second week of May in Nellore.

Complete step-by-step solution:
We have been given a sample of 7 discrete data 41, $39.5$, $38.7$, 38, 39, 40 and 40.
We need to find their sample mean or so-called average for the recorded maximum temperature in the second week of May in Nellore. In this sample $n=7$.
The term “Average” describes a value that should represent the sample. An average is defined as the sum of all the values divided by the total number of values in a given set. A mean is a mathematical term that describes the average of a sample. In Statistics, the definition of the mean is similar to the average.
We consider the inputs as ${{x}_{i}},i=1(1)7$.
We express the mathematical formulas to find those attributes and put the values.
Sample mean can be expressed as $\overline{x}=\dfrac{\sum{{{x}_{i}}}}{n}$. Putting the values, we get
\[\overline{x}=\dfrac{41+39.5+38.7+38+39+40+40}{7}=\dfrac{276.2}{7}=39.43\]. (approx.)

Note: These all-required attributes are the measurement of central tendency and dispersion. The sample range, sample mean, sample median is part of central tendency and sample variance and sample standard deviation are part of dispersion.