The Question : The mode of the following frequency distribution is 38. Find the value of x.
| Class Interval | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |
| Frequency | 7 | 9 | 12 | 16 | x | 6 | 11 |
Solution for the question :
Solution:∵ Mode = 38∴ The modal class is 30-40Mode = l + (f1 −f0)/(2f1 − f0 − f2) × h ⇒ 30 + (16−12)/(32−12−x) × 10 = 38⇒ 4/(20−x) x 10 = 38⇒ 8(20-x) = 40⇒ 20-x = 5⇒ x = 15
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