**S Chand ICSE Mathematics Class 9 Solution Fifteenth Chapter Mean Median and Frequency Polygon Exercise 15B**

**Find the median of the following:**

**(1) 2, 3, 5, 7, 9**

**Solution: **Median = (5 + 1 / 2) = 3th turn = 5

**(2) 4, 8, 12, 16, 20, 24, 28, 32**

**Solution:** Median = ½ {(8/2)th turn + (8/2 + 1)th turn}

= ½ {16 + 20}

= 18

**(3) 60, 33, 63, 61, 44, 48, 51**

**Solution:** first we write the terms in ascending order,

33, 44, 48, 51, 60, 61, 63

Median = (7 + 1 / 2)th term = 8 / 2 th term = 4^{th} term

= 51

**(4) 13,22, 25, 8, 11, 19, 17,31, 16, 10**

**(5) First 10 prime numbers.**

**Solution: **

**(6) 15 students secured the following marks in a test in Statistics. Find the median marks.**

**35, 28, 13, 17, 20, 30, 19, 29, 11, 10, 29, 23, 18, 25, 17**

**(7) Calculate the Median from the following data.**

Roll No. |
1 |
2 |
3 |
4 |
5 |
6 |
7 |

Marks |
25 |
55 |
5 |
45 |
15 |
35 |
60 |

**(8) Out of a total of 16 observations, arranged in ascending order, the 8 ^{th} and 9^{th} observations are 25 and 27. What is the Median?**

**(9) The median of the following observations arranged in ascending order 8, 9, 12, 18, (x + 2), (x + 4), 30, 31, 34, 39 is 24. Find x.**

**Solution: **

**(10) The following have been arranged in ascending order:**

**18, 20, 25, 26, 30, x, 37, 38, 39, 48**

**If the median of the data is 35, find x.. In the above data, if 48 is replaced by 28, find the new median.**

**Solution: **

**_____ x ______**