In worksheet on finding the median of raw data we will solve various types of practice questions on measures of central tendency. Here you will get 9 different types of questions on finding the median of raw data.
1. Find the median.
(i) 23, 6, 10, 4, 17, 1, 3
(ii) 1, 2, 3, 4, 3, 2, 1
(iii) 11, 0, 13, 7, 9, 5, 20, 6, 18
2. Find the median.
(i) 31, 38, 27, 28, 36, 25, 35, 40
(ii) 25, 34, 31, 23, 22, 26, 35, 29, 20, 32
(iii) a, a + 1, a + 2, a + 3, a + 4, a + 5.
3. Find the median of the first nine whole numbers.
4. Find the median of the first ten prime numbers.
5. Find the median of the possible values of x such that 1 ≤ x ≤ 7, where x is an integer.
6. Find the median of the first five numbers. If 6 is also included, find the difference of the medians in the two cases.
7. If the median of the data 7, 3, 10, 5, x is the integer x then find x.
8. If the numbers 25, 31, x – 3, 37, x + 4, 42, 43, 45, 46 are in ascending order and their median is 39 then find x.
9. Find the median of the following data.
41, 43, 127, 99, 61, 92, 71, 58, 57
If 58 is replaced by 85 then find the new median.
Answers on Worksheet on Finding the Median of of Raw Data are given below to check the exact answers of the questions.
Answers
1. (i) 6
(ii) 2
(iii) 9
2. (i) 33
(ii) 27.5
(iii) \(\frac{1}{2}\)(2a + 5)
3. 4
4. 12
5. 4
6. 3, 0.5
7. 6
8. 35
9. 61, 71 respectively.
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