ICSE Class 10 Measure of Central Tendency — Mock Test (2027)

Free online mock test for Measure of Central Tendency (ICSE Class 10 Mathematics) — 20 competency-based questions based on the latest CISCE 2027 syllabus, with instant marking. Try the samples below, then take the full test free.

Sample questions

1. 1.The following distribution is given:

   C.I.	0 - 10	10 - 20	20 - 30	30 - 40	40 - 50
   Frequency	5	7	10	8	5

   Using the ogive method and the diagram below, which labelled point on the ogive corresponds to the median of the distribution?
   • A.Point at 18 on the cumulative frequency axis
   • B.Point at 27 on the class interval axis
   • C.Point at 35 on the cumulative frequency axis
   • D.Point at 20 on the class interval axis
2. 2.The following table gives the frequency distribution of marks obtained by 50 students. If the sum of frequencies is 50, what are the values of a, b, c, and d?

   Marks	Frequency	Cumulative Frequency
   140-145	3	3
   145-150	5	8
   150-155	12	a
   155-160	15	25
   160-165	10	b
   165-170	c	43
   170-175	5	48
   175-180	2	d

   • A.a = 20, b = 35, c = 8, d = 50
   • B.a = 15, b = 30, c = 10, d = 45
   • C.a = 25, b = 40, c = 5, d = 55
   • D.a = 18, b = 33, c = 7, d = 48
3. 3.Assertion (A): The mean of first 9 natural numbers is 4.5. Reason (R): Mean = Sum of all the observations / Total number of observations (a) (A) is true, (R) is false (b) (A) is false, (R) is true (c) Both (A) and (R) are true, and (R) is the correct reason for (A) (d) Both (A) and (R) are true, and (R) is the incorrect reason for (A)
   • a.(A) is true, (R) is false
   • b.(A) is false, (R) is true
   • c.Both (A) and (R) are true, and (R) is the correct reason for (A)
   • d.Both (A) and (R) are true, and (R) is the incorrect reason for (A)
4. 4.The mean weight of 60 students of a class is 52.75 kg. If the mean weight of 25 of them is 51 kg, find the mean weight of the remaining students.
5. 5.Find the mean of the following data using the direct method:

   x	5	6	7	8	9
   f	4	5	3	6	2