Lesson 13 · Quartiles

Median

MathematicsSubject
8 minEstimated read
1Find the median: 2.5, 4.5, 3.6, 4.9, 5.4, 2.9, 3.1, 4.2, 4.6, 2.2, 1.5
2Find the median: 100, 105, 104, 197, 97, 108, 120, 148, 144, 190, 148, 22, 169, 171, 92, 100
3Find the median: marks obtained 18, 25, 28, 29, 34, 40, 44, 46; number of students 3, 6, 5, 7, 8, 12, 5, 4
4Find the median: x = 102, 105, 125, 140, 170, 190, 200; f = 10, 18, 22, 25, 15, 12, 8
5Find the median: weight (kg) 30-40, 40-50, 50-60, 60-70, 70-80, 80-90, 90-100; number of students 3, 5, 7, 11, 10, 3, 1
6Find the median: height (cm) 140-145, 145-150, 150-155, 155-160, 160-165, 165-170, 170-175; frequency 2, 5, 8, 10, 7, 5, 3
7Find the median: expenditure per day (Rs) less than 100, 100-200, 200-300, 300-400, 400-500, more than 500; frequency 22, 34, 52, 20, 19, 13
8Find the median: marks less than 20, less than 40, less than 60, less than 80, less than 100; number of students 21, 44, 66, 79, 90
9The median is 35. Find the missing frequency k: marks 20-25, 25-30, 30-35, 35-40, 40-45, 45-50; number of students 2, 5, 8, k, 4, 5
10The median is 132.5. Find p: wages (Rs) 100-110, 110-120, 120-130, 130-140, 140-150, 150-160; number of workers 5, 6, p, 4, 7, 5
11The median is 39. Find the missing frequency: age (years) 20-25, 25-30, 30-35, 35-40, 40-45, 45-50, 50-55, 55-60; number of people 50, 70, 100, 300, ?, 220, 70, 60
12Find the median: marks 50-60, 60-70, 70-80, 80-90, 90-100; number of students 2, 3, 6, 5, 4
13Find the median: marks < 20, < 40, < 50, < 80, < 100; number of students 9, 23, 43, 55, 60
14Find the median: income (Rs) < 600, < 700, < 800, < 900, < 1000; number of workers 30, 98, 152, 177, 200
15Find the median: temperature (°C) 0-9, 10-19, 20-29, 30-39, 40-49; days 8, 10, 20, 15, 7
16The marks of 30 students in a class test are: 22, 56, 62, 37, 48, 30, 58, 42, 29, 39, 37, 50, 38, 41, 32, 20, 28, 16, 43, 18, 40, 52, 44, 27, 35, 45, 36, 49, 55, 40. Construct a frequency distribution table with a class interval of 10 and find the mean and median.
17The heights in cm of 40 students of class 10 are: 142, 145, 151, 157, 159, 160, 165, 162, 156, 158, 155, 141, 147, 149, 148, 159, 154, 155, 166, 168, 169, 172, 174, 173, 176, 161, 164, 163, 149, 150, 154, 153, 152, 164, 158, 159, 162, 157, 156, 155. Construct a frequency distribution table with a class interval of 5 and find the mean and median.
18Why is the position of the median \( \frac{N+1}{2} \) in a discrete series but \( \frac{N}{2} \) in a continuous series?
19Seven players scored 5, 0, 12, 8, 90, 7 and 10 runs. Find the mean and the median. Which describes the group better?
20Marks less than 10: 3, less than 20: 10, less than 30: 22, less than 40: 30. Find the median.
21The median mark of 80 students came out as 27.56. What does this tell us about the students?