1The extra activities liked by class 8 students, with the number of students, are drama 7, comedy 8, dance 9 and games 10. Find the angles needed to show this as a pie chart.
2The mathematics results of the class 8 students of Saraswati Secondary School, by division, are distinction 40, first division 56, second division 32 and third division 16. Show this as a pie chart.
3Pemba's monthly spending by heading is food 30%, health 15%, education and travel 32%, communication and house rent 23%. Show this as a pie chart.
4A family's income comes from salary 30%, farming 10%, business 45% and house rent 15%. Show this as a pie chart.
5Find the arithmetic mean of the following data: (a) 15, 13, 18, 16, 14, 17, 12 (b) 84, 91, 88, 94, 91, 105, 98, 85 (c) 5ft, 4.8ft, 5.1ft, 4.8ft, 5ft, 4.9ft, 4.7ft, 4.9ft
6Find the value of m from the following: (a) \( \Sigma X = 77 + m \), \( n = 10 \) and mean \( \bar{X} = 8 \) (b) the mean of 3, 6, m, 9 and 10 is 7 (c) the mean of 42, 48, 36, 39, m, 45, 42 and 32 is 40
7Find the median of the following data: (a) 27, 29, 18, 25, 32, 21, 26 (b) 34, 46, 49, 38, 56, 86, 68, 35 (c) 112kg, 104kg, 108kg, 109kg, 111kg, 109kg, 114kg, 112kg, 110kg, 113kg
8(a) If \( x \), \( x + 2 \), \( x + 5 \), \( x + 7 \) and \( x + 8 \) are in increasing order and their median is 15, find \( x \). (b) If 5, 17, \( x + 5 \), \( x + 7 \), \( x + 12 \), 50 and 58 are in increasing order and their median is 28, find \( x \).
9Find the mode of the following data: (a) 2, 3, 3, 2, 4, 5, 6, 3, 3, 5, 5, 4, 3, 2 (b) 29cm, 34cm, 29cm, 26cm, 55cm, 34cm, 35cm, 40cm, 34cm, 56cm (c) 120, 125, 130, 125, 120, 135, 120, 140
10A school has 53 students in class V, 43 in class VI, 46 in class VII and 50 in class VIII, making 192 altogether. (a) What is the mean number of students per class? (b) What percentage of the students is in each class?
11When 80 girls were asked their favourite game, 40 chose badminton, 10 table tennis, 20 volleyball and 10 cricket. (a) Which two games were chosen by equal numbers of girls? (b) Find the angles needed to show this as a pie chart.
12Renish's monthly spending is transport Rs 1000, education Rs 4000, health Rs 2000 and clothing Rs 3000, making Rs 10000 in all. (a) Find the angles needed to show this as a pie chart. (b) Renish's mean spending per heading is Rs 2500. If the mean per heading is to be brought down to Rs 2000, how much must be cut equally from education and from health?
13The weights in kg of ten class 8 students are 32, 35, 38, 42, 42, 47, 34, 36, 44 and 40. (a) What is the mode? (b) What is the mean weight? (c) Are the median and the mean equal?
14Twelve class 8 students scored 23, 30, 25, 26, 24, 28, 29, 28, 31, 33, 34 and 28 in the first term mathematics examination. Find the mean, the median and the mode.
15The weights in kg of the children who came to a health post for treatment before 10 in the morning are 22, 20, 15, 21, 18, 19 and 18. (a) What is the mean weight? (b) What is the median weight? (c) If two more children come the same day and the median must stay the same, what could their weights be? (d) If two more children come and the mean must stay the same, what could their weights be?
16Find the mean, the median and the mode of the data 75, 80, 68, 95, 68, 46, 38, 45.
17A pie chart has four headings. Three of the sectors have angles 84°, 96° and 60°. What is the angle of the fourth sector? If the total value is Rs 72,000, how much was spent under the fourth heading?
18The daily pocket money of nine students of a class is Rs 20, 25, 20, 30, 25, 20, 35, 40 and 25. Find the mean, median and mode, and say which of them shows the most common amount.
19While drawing a pie chart, the four angles after rounding came out as 96°, 78°, 112° and 73°. Will these angles make a correct pie chart? If not, what must be done?