The data given below presents number of households corresponding to the number of children residing therein.
| Number of Children | Number of Household |
| 0 | 8 |
| 1 | 7 |
| 2 | 3 |
| 3 | 8 |
| 4 | 4 |
What is the difference (correct up to two decimal places) between the mean and the median of the number of the chiildren?
Show answer & explanation
Correct answer: C
Explanation
Correct Answer is option 3 i.e. 0.27
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Understanding |
Application |
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Mean = (Sum of numbers)/Total numbers |
Hence, Mean ⇒ (1 × 7 + 2 × 3 + 3 × 8 + 4 × 4)/(8 + 7 + 3 + 8 + 4) ⇒ (7 + 6 + 24 + 16)/30 ⇒ 53/30 ⇒ 1.77 |
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Median: the middle number in a sorted, ascending or descending, list of numbers. If total number are even: Median = [(n/2)th term + (n/2 + 1)th term]/2
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Data in ascending order: 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4 Here, Median = [(30/2)th term + (30/2 + 1)th term]/2 = [(15th term + 16th term]/2 = [(1 + 2]/2 = 3/2 = 1.5 Hence, difference = 1.77 – 1.5 = 0.27 |