Arithmetic Mean

Arithmetic Mean

Arithmetic mean for individual, discrete and continuous observations using both direct and shortcut methods, combined mean, Harmonic Mean and Geometric Mean

1 / 10

The arithmetic mean of 10 observations is 25. If one observation, 30, is removed, what is the new arithmetic mean?

2 / 10

A student scored the following marks in 6 tests: 50, 60, 70, 80, 90, 100. What is the mean if the highest score is dropped?

3 / 10

For the following data, calculate the arithmetic mean using the direct method:

X 2 4 6 8 10
f 1 2 3 4 5

4 / 10

For a dataset with frequencies and midpoints as below, find the mean using the shortcut method:

Class Interval 0-10 10-20 20-30 30-40 40-50
Frequency (f) 2 3 5 4 1

Use A=25 (midpoint of 20−30) and h=10.

5 / 10

For the following grouped data, find the arithmetic mean using the direct method:

Class Interval 0-20 20-40 40-60 60-80 80-100
Frequency () 5 10 15 10 5

6 / 10

The weights of 50 individuals are grouped into the following classes:

Class Interval 40-50 50-60 60-70 70-80 80-90
Frequency (f) 4 6 20 10 10

If the assumed mean (A) is 65 and class width (h) is 10, what is the mean using the shortcut method?

7 / 10

For the following discrete dataset, calculate the arithmetic mean using the shortcut method.

X 2 4 6 8 10
f 3 7 10 6 4

8 / 10

9 / 10

Find the harmonic mean of the following speeds (in km/hr): 40, 50, and 60.

10 / 10

Find the geometric mean of the following numbers: 3, 6, and 12.

Your score is

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