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.

What to expect: This mock test covers key concepts from the Measure of Central Tendency chapter — including application-based and competency-focused questions aligned with how ICSE actually sets the paper.

Tip: Attempt without notes first to identify gaps, then review explanations for any wrong answers. Retake after a few days for best retention.

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Sample questions

1.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
2.The daily minimum temperature recorded (in degrees F) at a place during a week was as under:
Monday Tuesday Wednesday Thursday Friday Saturday Sunday
35.5 30.8 28.3 31.1 23.8 29.9 32.7
What is the mean temperature of the week?
- A.28.9°F
- B.30.3°F
- C.32.1°F
- D.212.1°F
3.Find the mode and the median of the following frequency distribution:
x 10 11 12 13 14 15
f 1 4 7 5 9 3
Which of the following correctly represents the mode and median?
- A.Mode = 14, Median = 13
- B.Mode = 12, Median = 14
- C.Mode = 15, Median = 12
- D.Mode = 9, Median = 13
4.Find the mean of the following distribution using the direct method:
Class Interval 0-10 10-20 20-30 30-40 40-50
Frequency 10 6 8 12 5
- A.22.56
- B.24.02
- C.25.78
- D.19.34
5.The weights of 50 apples were recorded as given below. Calculate the mean weight, to the nearest gram, by the Step Deviation Method.
Weight in grams 80–85 85–90 90–95 95–100 100–105 105–110 110–115
No. of apples 5 8 10 12 8 4 3

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

Monday	Tuesday	Wednesday	Thursday	Friday	Saturday	Sunday
35.5	30.8	28.3	31.1	23.8	29.9	32.7

x	10	11	12	13	14	15
f	1	4	7	5	9	3

Class Interval	0-10	10-20	20-30	30-40	40-50
Frequency	10	6	8	12	5

Weight in grams	80–85	85–90	90–95	95–100	100–105	105–110	110–115
No. of apples	5	8	10	12	8	4	3

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