100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabet in the surnames was obtained as follows:
Determine the median number of letters in the surnames. Find the mean number of letters in the surnames. Also, find the modal size of the surnames.



CBSE Class 10 Statistics — Complete Guide
Statistics carries 5-7 marks and is highly scoring. Mean, median, and mode of grouped data are guaranteed questions.
Quick Revision: Key Formulae
- Mean (step deviation): a + (Σfiui/Σfi) × h
- Median: l + [(n/2 − cf)/f] × h
- Mode: l + [(f1−f0)/(2f1−f0−f2)] × h
- Empirical: 3 Median = Mode + 2 Mean
Most Important Questions
- Find mean using step deviation or assumed mean method
- Find median of grouped data
- Find mode of grouped data
- Draw ogive and determine median graphically
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