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 and hence estimate the mode for the following frequency distribution.

   Class	0-10	10-20	20-30	30-40	40-50	50-60
   Frequency	2	8	10	5	4	3

   
   • A.20
   • B.23
   • C.25
   • D.30
2. 2.On annual day of a school, 400 students participated in the function. 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.

   Ages (in years)	Number of students
   5-7	70
   7-9	120
   9-11	32
   11-13	100
   13-15	45
   15-17	28
   17-19	5

   
   • A.7.0 years
   • B.7.8 years
   • C.8.5 years
   • D.9.0 years
3. 3.(i) Use graph paper for this question. (Take $2\mathrm{cm} = 10$ Marks along one axis and $2\mathrm{cm} = 10$ students along another axis). A histogram is drawn for the marks obtained by 164 students in a particular class. From the histogram, what is the mode of the distribution?
   • A.58.25
   • B.64.12
   • C.70.50
   • D.76.75
4. 4.Draw a histogram from the following frequency distribution and determine the mode by locating the abscissa where the two straight lines AC and BD (drawn in the highest rectangle) intersect and meet the x-axis.

   Class	0-5	5-10	10-15	15-20	20-25	25-30
   Frequency	2	5	18	14	8	5

   
   • A.12
   • B.13
   • C.14
   • D.15
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