Statistics

What you'll learn

Understand mean, median, and mode for grouped data with clear formulas and worked examples tailored to the Class 10 Statistics syllabus.

This chapter has

Statistics — solved practice questions

8 Class 10 Mathematics questions with step-by-step solutions. Attempt each, then reveal the answer.

1. Q1easy

   The mean of a data set is:

   • Asum ÷ number of items
   • Bmiddle value
   • Cmost frequent value
   • Dhighest − lowest
   Show answer & solution

   Correct answer: (A) sum ÷ number of items

   Mean = Sum of all observations ÷ Number of observations.

2. Q2easy

   The mode of a data set is:

   • Amean value
   • Bmost frequent value
   • Cmiddle value
   • Drange
   Show answer & solution

   Correct answer: (B) most frequent value

   Mode is the value that occurs most frequently in the data.

3. Q3easy

   The median is the value that:

   • Aoccurs most often
   • Bis the average
   • Cdivides data into two equal halves
   • Dis the largest
   Show answer & solution

   Correct answer: (C) divides data into two equal halves

   Median divides the data into two equal halves (50th percentile).

4. Q4easy

   For a class interval 30–40, the class mark (midpoint) is:

   • A30
   • B40
   • C35
   • D10
   Show answer & solution

   Correct answer: (C) 35

   Class mark = (30+40)/2 = 35.

5. Q5medium

   The empirical relationship between mean, median and mode is:

   • AMode = 3 Median − 2 Mean
   • BMean = 3 Mode − 2 Median
   • CMedian = 3 Mean − 2 Mode
   • DMode = 2 Mean − Median
   Show answer & solution

   Correct answer: (A) Mode = 3 Median − 2 Mean

   Mode = 3 Median − 2 Mean (approximately, for moderately skewed distributions).

6. Q6medium

   In the assumed mean method, 'a' represents:

   • Aactual mean
   • Bassumed mean
   • Cclass width
   • Dfrequency
   Show answer & solution

   Correct answer: (B) assumed mean

   'a' is the assumed mean — a convenient value (usually the midpoint of a middle class) chosen to simplify calculation.

7. Q7medium

   The cumulative frequency of a class is:

   • Afrequency of that class only
   • Bfrequency × class mark
   • Csum of all frequencies up to that class
   • Dfrequency ÷ total
   Show answer & solution

   Correct answer: (C) sum of all frequencies up to that class

   Cumulative frequency is the running total of all frequencies up to and including that class.

8. Q8medium

   An ogive is a graph of:

   • Afrequency vs class mark
   • Bcumulative frequency vs class boundaries
   • Cmode vs median
   • Dmean vs class
   Show answer & solution

   Correct answer: (B) cumulative frequency vs class boundaries

   An ogive (cumulative frequency curve) plots cumulative frequency against the upper class boundaries.

Want the full set? Practise all 15 Statistics questions →