**Exercise 24.1**

**Question 1: If the heights of 5 persons are 140 cm, 150 cm, 152 cm, 158 cm and 161 cm respectively. Find the mean height.**

**Solution:**

**Question 2: Find the mean of 994 , 996 , 998 , 1002 , 1000.**

**Solution:**

**Question 3: Find the mean of first five natural numbers.**

**Solution:**

**Question 4: Find the mean of all factors of 10.**

**Solution:**

**Question 5: Find the mean of first 10 even natural numbers.**

**Solution:**

**Question 6: Find the mean of x , x + 2 , x + 4 , x + 6 , x + 8.**

**Solution:**

**Question 7: Find the mean of first five multiples of 3.**

**Solution:**

**Question 8: Following are the weights (in kg) of 10 new born babies in a hospital on a particular day: 3.4 , 3 .6 , 4.2 , 4.5 , 3.9 , 4.1 , 3.8 , 4.5 , 4.4 , 3.6. Find the mean.**

**Solution:**

**Question 9: The percentage marks obtained by students of a class in mathematics are :**

**64 , 36 , 47 , 23 , 0 , 19 , 81 , 93 , 72 , 35 , 3 , 1. Find their mean.**

**Solution:**

**Question 10: The numbers of children in 10 families of a locality are:**

**2 , 4 , 3 , 4 , 2 , 3 , 5 , 1 , 1 , 5. Find the number of children per family.**

**Solution:**

**Exercise 24.2**

**Question 1: Calculate the mean for the following distribution:**

**Solution:**

**Question 2: Find the mean of the following data:**

**Solution:**

**Question 3: The mean of the following data is 20.6 .Find the value of p.**

**Solution:**

**Question 4: If the mean of the following data is 15, find p.**

**Solution:**

**Question 5: Find the value of p for the following distribution whose mean is 16.6.**

**Solution:**

**Question 6: Find the missing value of p for the following distribution whose mean is 12.58.**

**Solution:**

**Question 7: Find the missing frequency (p) for the following distribution whose mean is 7.68.**

**Solution:**

**Exercise 24.3**

**Question 1: Find the median of the following data:**

**83 , 37 , 70 , 29 , 45 , 63 , 41 , 70 , 34 , 54**

**Solution:**

**Question 2: Find the median of the following data:**

**133 , 73 , 89 , 108 , 94 , 104 , 94 , 85 , 100 , 120**

**Solution:**

^{th}term + 6th term)/2

**Question 3: Find the median of the following data:**

**31, 38, 27, 28, 36, 25, 35, 40**

**Solution:**

**Question 4: Find the median of the following data:**

**15, 6, 16, 8, 22, 21, 9, 18, 25**

**Solution:**

^{th}term

**Question 5: Find the median of the following data:**

**41, 43, 127, 99, 71, 92, 71, 58, 57**

**Solution:**

^{th}term

**Question 6: Find the median of the following data:**

**25, 34, 31, 23, 22, 26, 35, 29, 20, 32**

**Solution:**

**Question 7: Find the median of the following data:**

**12, 17, 3, 14, 5, 8, 7, 15**

**Solution:**

**Question 8: Find the median of the following data:**

**92 , 35 , 67 , 85 , 72 , 81 , 56 , 51 , 42 , 69**

**Solution:**

**Exercise 24.4**

**Question 1: Find out the mode of the following marks obtained by 15 students in a class:**

**Marks : 4 , 6 , 5 , 7 , 9 , 8 , 10 , 4 , 7 , 6 , 5 , 9 , 8 , 7 , 7.**

**Solution:**

**Question 2: Find out the mode from the following data:**

**125, 175, 225, 125, 225, 175, 325, 125, 375, 225, 125**

**Solution:**

**Question 3: Find the mode for the following series:**

**7.5 , 7.3 , 7.2 , 7.2 , 7.4 , 7.7 , 7.7 , 7.5 , 7.3 , 7.2 , 7.6 , 7.2**

**Solution:**

**Exercise VSAQs**

**Question 1: If the ratio of mean and median of a certain data is 2:3, then find the ratio of its mode and mean.**

**Solution:**

**Question 2: If the ratio of mode and median of a certain data is 6 : 5, then find the ratio of its mean and median.**

**Solution:**

**Question 3: If the mean of x+2, 2x+3, 3x+4, 4x+5 is x+2, find x.**

**Solution:**

**Question 4: The arithmetic mean and mode of a data are 24 and 12 respectively, then find the median of the data.**

**Solution:**

**Question 5: If the difference of mode and median of a data is 24, then find the difference of median and mean.**

**Solution:**