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
In a colony 5 families have 1 child, 7 families have 2 children, 8 families have 3 children and 3 families have 4 children.What is the mode of the number of children.
What will be the difference between mean and median of the given data?
21, 11, 27, 8, 5, 12, 7, 23, 3, 14, 9, 19Find the mode and median of 3, 4, 5, 5, 3, 6, 7, 3, 5, 5, 6.
A. 5 and 5
B. 3 and 5
C. 5 and 4
D. 3 and 4
For which set of numbers do the mean, median and mode all have the same value?
The median of 5, 8, 25, 22, 34, 18 is
