ICSE Class 10 Histogram and Ogive — Mock Test (2027)

Free online mock test for Histogram and Ogive (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.Using the data given below, a cumulative frequency table is constructed and an ogive is drawn.

   Marks	Number of students
   0-10	3
   10-20	8
   20-30	12
   30-40	14
   40-50	10
   50-60	6
   60-70	5
   70-80	2

   From the ogive, what is the median marks obtained by the students?
   • A.25
   • B.30
   • C.35
   • D.40
2. 2.Use graph paper to draw a histogram for the following frequency distribution and hence estimate the mode.

   Class	0-20	20-40	40-60	60-80	80-100	100-120
   Frequency	7	16	20	10	5	6

   
   • A.40
   • B.46
   • C.50
   • D.60
3. 3.For the following frequency distribution, draw a histogram and determine the mode by locating the abscissa of the intersection point of lines AC and BD in the highest rectangle.

   Class	0-5	5-10	10-15	15-20	20-25	25-30
   Frequency	2	7	18	10	8	5

   
   • A.160 cm
   • B.162 cm
   • C.155 cm
   • D.170 cm
4. 4.Marks obtained by 100 students in an examination are given below:

   Marks	0-20	20-40	40-60	60-80	80-100	100-120
   Number of Students	10	15	20	28	20	7

   Draw a histogram for the given data using graph paper and determine the mode.
   • A.65 marks
   • B.70 marks
   • C.75 marks
   • D.80 marks
5. 5.A Mathematics aptitude test of 100 students is given below. Using the histogram drawn from this data, locate the mode by identifying the abscissa where the two straight lines AC and BD (drawn in the highest rectangle) intersect and meet the x-axis.

   Marks	30-40	40-50	50-60	60-70	70-80
   Number of students	13	11	28	38	10

   
   • A.58 marks
   • B.62 marks
   • C.65 marks
   • D.70 marks