Given below is the data of the ages of various children.
| Age(Years) | Number of chldren |
| 6 | 17 |
| 7 | 16 |
| 8 | 16 |
| 9 | 17 |
| 10 | 19 |
| 11 | 15 |
What is the difference between the mean and mode of the ages?
Show answer & explanation
Correct answer: A
Explanation
Correct Answer is option 1 i.e. 1.5
|
Application |
Calculation |
|
Mean = 8.5 |
⇒ (17 × 6 + 16 × 7 + 16 × 8 + 17 × 9 + 19 × 10 + 15 ×11)/(17 + 16 + 16 + 17 + 19 + 15) ⇒ (102 + 112 + 128 + 153 + 190 + 165)/100 ⇒ 850/100 ⇒ 8.5 |
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The Mode is the number which appears most often. Hence, Mode = 10 |
Since 19 (Maximum) boys have age 10. |
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Difference between the mean and mode = 1.5 |
⇒ 10 – 8.5 = 1.5 |