Question
Download Solution PDFGiven below is the observed data of the ages of various children.
|
Age in years |
Number of children |
|
6 |
8 |
|
7 |
3 |
|
8 |
7 |
|
9 |
2 |
|
10 |
20 |
What is the difference between the mean and mode of the ages?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFSolution:
Mean = (6 × 8 + 7 × 3 + 8 × 7 + 9 × 2 + 10 × 20)/(8 + 3 + 7 + 2 + 20)
⇒ (48 + 21 + 56 + 18 + 200)/40
⇒ 343/40
Mean = 8.575
Mode Most frequent, Mode = 10, due to the number of children maximum in the 20 children.
The difference between the mean and mode of the ages
⇒ 10 - 8.575
⇒ 1.425 years
∴ The difference between the mean and mode of the ages is 1.425 years.
Last updated on May 28, 2025
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