RIMES Statistics 1. Calculate the mean from the data showing marks of students in.a class in a test: 40, 50, 55, 78, 58. 2. The points scored by a basketball team in a series of matches are as follows: 17, 2, 7, 27, 25, 5, 14, 18, 10, 24, 48, 10, 8, 7, 10, 28 Find the mean for the data 3. If mean of 5 observations x, x+2, x+4, x+4, x+8 is 11, then x is 4, Ifmean wage of first 50 workers is 100rs. And mean of 30 of them is 120rs., then mean wage of remaining workers is : 5. If mean of 25 observations is 27 and each obsetvation is reduced by 7, then new mean is 32, 48, 50, x, x+2, 72, 78, 84, 95 are arranged in ascending order. If median of the data is 63, then x is__. 7. Ifmedian of 5, =, 5,%,x is 8, then x is equal to 8. Find mean by assumed mean if A=25 efidi=110 efi=S0, then mean is equal to__. 6. The observation: 9. If median of 4,x,x+1,x+3,16,25 written in ascending order is 13, then x is equal to__. 10.The mean of 2,7,6,x is 15 and mean of 18,1,6,x.y is 10 then y=_. 11.Median of first 8 prime numbers is. 12.mean of first 5 natural numbers is. 13.1f mean and median of the data is 20 and 22 respectively, then mode of the data is__. 14.The mean of 8, 11, 6, 14, x and 13 is 66. Find the value of the observation x. 15.The mean of 6, 8, x 2, 10, 2x - 1, and 2 is 9. Find the value of x and also the value of the observation in the data, 16.The following observations are arranged in ascending order. The median of the data is 25 find the value of xz 17, x, 24, x +7)35, 36, 46 17.The mean of 11 numbers is 35. If mean of first 6 numbers is 32 and that of last 6 numbers is 37, find 6th number, 18.Find the mean, median and mode of the following data: 23, 18, 24, 23, 31, 37, 28, 30, 25, 40, 35, 35, 27, 25 19.Find mean of following data: x 2 3 4 a 6 7 FE 1 2 1 8 9 320.Find mean of following data: [x [5 6 7 8 9 le |4 8 14 u 3 21. The mean of the following distribution is 26. Find the value of p and algo the value of the observation: u 0 1 2 3 4 5 f 3 3 P 7 p-l 4 Also, find the mode and the given data. 22. Find the value of, the missing frequency, If the mean of the following distribution is 67. Class Interval Frequency 25-35 10 35-45 6 45-55 4 55-65 f 65-75 4 75-85 12 85-95 26 23.Find the mean of the following frequency distribution by step deviation method: Class interval 10 10-20] 20-30} 30-40} 40-50| 50-60] 60-70 Frequency 20 8 24.1f mean of following data is 25, then find value of p. x 5 15 25 35 45 f 3 P 3 6 2 25.Find missing frequencies if mean of the data is 50 and sum of frequencie: xX 10 30 50 70 ft 17 A 32 b 19 26.The mean of the following frequency distribution is 62.8 and the sum of all frequencies is 50, Compute the missing frequencies f, and f. Class 0-20 © 20-40 [40-60 [60-80 | 80-100 | 100-120 | Total wn Frequency fi 10 & 7 8 3027.Find mean of following data: Class | 25-29 30-34 35-39 | 40-44 = 45-49 | 50-54 | 55-59 interval frequency | 14 22 16 6 5 3 4 28.The mean of the following data is 50, find a and b if sum of frequencies is 120. Class 0-20 20-40 40-60 60-80 80-100 interval frequency | 17 A 32 b 19 29.Find the median of the following frequency distribution. x 15 20 2 17 30 25 fi 6 ¥ 4 | 4 10 6 30.Find median of the following data: x, | 30] 21] 27] 15 | 35 £17] 5{6/3 {8 31.For Uttarakhand flood victims, money donated by teachers of a school is shown in the following frequency distribution: Money 500-700 | 700-900 900-1100 | 1100-1300 | 1300-1500 donated (in % No. of 4 3 18 2 3 Teachers Find mean and median for this data. 32.In a hospital, during the nionth of October 2013, number of patients admitted for dengue and their ages are as follows: __ ae 0-8 | 8-16 | 16-24 | 24-32 | 32-40 | 40-48 | 48-56 | sé-64 | 64-72 (in years) Tibed 1 | 2 8 | 2 | is | am | a | 30 | 22 patients | Find the median age of patients 33. Ina retail market, fruit vendor were selling mangoes in packing boxes. These boxes contained varying number of mangoes. The following was the distribution: No. of mangoes | _ 50-52 53-55 36-58 | 59-61 | 62-64 No. of boxes 15 + uo | 3s | os 25} Find the mean and median number of mangoes kept in a packing box.34.If the median of a distribution given below is 28.5, then find the value of x and y. cl 0-10 10-20 20-30 30-40 40-50 50-60 Total | Frequency 5 x 20 15 y 5 60 | 35.Find median of following data: Class 118-126 | 127-135 | 136-144 | 145-153 | 154-162 | 163-171 | 172-180 interval frequency | 3 5 9 12 5 4 2 36.The median of the following data is 50. Find value of p and q, if sum of frequencies is 90. Marks 20-30 30-40 40-50 50-60 60-70 70-80 80-90 frequency | p 15 25/20, Iq 8 10 37.Find the missing frequency in the following distribution if N = 100 and median is 32. Marks 0-10 |10-20 |20-30 |30-40 |40-s0 |50-60 | Total No. of 4 5 students |1° ? 25 30 ? 10 100 38. Find mode of following data: 120,110,130,110,120,140,130,120,140,120 39.The marks obtained by 40 students out of 50 in a class are given below in the table. Marks 42 36 30 45 «(50 Number of Students 7 10 13 8 2 Find the mode of the above data 40. Find the mode of the following frequency distribution: Class 0-6 12 [12-18 [18-24 7 24-30 | Frequency _ 1 5 10 mol 6) 4 . The following data gives the information on the observed life times (in hours) of 150 electrical components Life time (in hours) | 0-20 | 20-40 | 40-60 | 60-80 | 80-100] { Frequency 4s 10 35) so Find the mode of the distribution.culate the mode for the following distribution. a 40-45 45-50 | 50-55 55-60 60-65 65-70 70-75 75-80 Frequency 4 4 BS 6 5 2 1 43. Find mode of following data: Class 0-20 20-40 40-60 60-80 | 80-100 100-120 | 120-140 interval frequency | 6 8 10 2 6 5 3 44, Mode for the following distribution is 17.5 and x is less than 6, Find x: Classes | 0-5 5-10 10-15 (15:20 20-25 frequency | 5 2 3 6 x 45. The mode of the following data is 85.7. Find the missing frequency in it. Class 45-55 55-65 65-75 75-85 85-95 95-105 | 105-115 interval frequency | 7 12 17 F 32 6 10 46. ar ® Determine the missing frequency x, from the following data, when Mode is 67. Class 40-50 50-60 60-70 70-80 80-90 Frequency 5 w 15 12 7