Height (cm) Number of persons 120 3 130 4 140 5 150 6 160 2
Calculate Mean Height from Frequency Data
To determine the mean height from the provided frequency distribution data, we follow a standard calculation method. This involves multiplying each height value by its corresponding frequency (number of persons), summing these products, and then dividing by the total number of persons.
| Height (cm) | Number of persons (f) | fx |
| 120 | 3 | 360 |
| 130 | 4 | 520 |
| 140 | 5 | 700 |
| 150 | 6 | 900 |
| 160 | 2 | 320 |
| Total | $ \sum f = 20 $ | $ \sum fx = 2800 $ |
Mean Height Calculation Steps
- Multiply Height by Frequency: Calculate the product ($fx$) for each row by multiplying the height ($x$) by the number of persons ($f$).
-
Sum the Products: Obtain the total sum of the $fx$ column ($ \sum fx $).
$ \sum fx = 360 + 520 + 700 + 900 + 320 = 2800 $ -
Sum the Frequencies: Obtain the total sum of the 'Number of persons' column ($ \sum f $).
$ \sum f = 3 + 4 + 5 + 6 + 2 = 20 $ -
Calculate the Mean: Divide the total sum of products ($ \sum fx $) by the total frequency ($ \sum f $).
Mean height = $ \frac{\sum fx}{\sum f} $
Mean height = $ \frac{2800}{20} $
Mean height = $ 140 $ cm
The mean height calculated from the data is 140 cm.
Similar Questions
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Important Questions from Elementary Statistics
Demand for seats in a university is at its highest in the fall; demand also trends to grow and fall off in 25 year waves. In time service forecasting, the former demand characteristic would be called ______ and the latter would be called _______.
The system of combining two or more overlapping series of index numbers to obtain a single continuous series is called
The rise in the number of patients due to heatstroke is an example of:
According to government data, 24 percent of teenagers in India under the age of 18 years live in households with incomes that are classified at a particular income level. A simple random sample of 400 teenagers in India under the age of 18 years was selected for a study of learning. If the government data is correct, which of the following best approximates the probability that at least 27 per cent of the teenagers in the sample live in households that are classified at a particular income level?
Which index satisfies the factor reversal test?
