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.Draw a histogram for the following data showing the ages of 200 patients getting medical treatment in a hospital and locate the mode from the graph.

   Age (In years)	No. of Patients
   10-20	40
   20-30	22
   30-40	35
   40-50	50
   50-60	23
   60-70	30

   What is the mode of the given distribution?
   • A.40 years
   • B.43.5 years
   • C.45 years
   • D.50 years
2. 2.Draw a histogram from the following frequency distribution and determine the mode from the graph.

   Class	20-25	25-30	30-35	35-40	40-45	45-50
   Frequency	3	10	36	28	15	12

   What is the mode of the given distribution?
   • A.₹35
   • B.₹40
   • C.₹43
   • D.₹45
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.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
5. 5.Following frequency distribution shows the expenditure on milk of 35 households in a locality. Draw a histogram for the data using graph paper and locate the mode.

   Daily milk expenditure (Rs.)	Number of households
   0-20	5
   20-40	6
   40-60	9
   60-80	6
   80-100	4
   100-120	5

   
   • A.₹40
   • B.₹50
   • C.₹60
   • D.₹70