The following distribution gives the daily wages of 60 workers of a factory:
| Daily income (₹) | Number of workers |
|---|---|
| 200–300 | 6 |
| 300–400 | 10 |
| 400–500 | 14 |
| 500–600 | 16 |
| 600–700 | 10 |
| 700–800 | 4 |
Use graph paper. Take 2 cm = ₹100 along one axis and 2 cm = 2 workers along the other axis. Draw a histogram and hence find the mode of the distribution.
Hence, required mode = ₹ 530.
More ICSE Easy level questions
The following table gives the marks scored by a set of students in an examination. Calculate the mean of the distribution using the shortcut method. Marks Number of students (f) 0–10 3 10–20 8 20–30 14 30–40 9 40–50 4 50–60 2
Use graph paper to answer this question. During a medical check-up of 60 students in a school, their weights were recorded as follows: Weight (kg) Number of students 28–30 2 30–32 4 32–34 10 34–36 13 36–38 15 38–40 9 40–42 5 42–44 2 Taking 2 cm = 2 kg along one axis and 2 cm = 10 students along the other axis, draw an ogive. Use the graph to find: (a) the median (b) the upper quartile (c) the number of students whose weight is above 37 kg.
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Using a graph paper, draw an ogive for the following distribution which shows a record of weight in kilograms of 100 students. Weight (in kg) Number of students 35–40 4 40–45 6 45–50 10 50–55 24 55–60 26 60–65 17 65–70 8 70–75 5 Use your ogive to estimate the following: (a) the median weight of the students. (b) percentage of students whose weight is 60 kg or more. (c) the weight above which 20% of the students lie.
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For the following frequency distribution, find: (a) the mean, to the nearest whole number. (b) the median. x 10 11 12 13 14 15 16 f 3 2 2 6 3 5 3
The histogram drawn on the graph represents the number of students of different heights (in cm). Using the graph, answer the following: (a) the number of students whose height is 150 cm and above. (b) the modal height. (c) the total number of students.
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A life insurance agent found the following distribution of ages of 100 policy holders: Age (years) Frequency Cumulative frequency 20–25 2 2 25–30 4 6 30–35 12 18 35–40 20 38 40–45 28 66 45–50 22 88 50–55 8 96 55–60 4 100 On a graph sheet, draw an ogive using the given data. Take 2 cm = 5 years along one axis and 2 cm = 10 policy holders along the other axis. Use your graph to find: (a) the median age. (b) the number of policy holders whose age is above 52 years.
