Practice Test

Q1) If there are 10 values each equal to 10, then S.D. of these values is _______. Show Answer

Q2) Number of patients who visited cardiologists are 13, 17, 11, 15 in four days then standard deviation (approximately) is _________. Show Answer

Q3) If the observations of a variable X are, -4, -20, -30, -44 and -36, then the value of the range will be ______. Show Answer

Q4) The standard deviation of a distribution divided by the mean of the distribution and expressing in percentage is called __________. Show Answer

Q5) The positive square root of the mean of the squares of the deviations of observations from their mean is called ________. Show Answer

Q6) The variance of 19, 21, 23, 25 and 27 is 8. The variance of 14, 16, 18, 20 and 22 is _________. Show Answer

Q7) For any two numbers SD is always ________. Show Answer

Q8) Given the heights (in cm) of two groups of students:
Group A: 131 cm, 150 cm, 147 cm, 138 cm, 144 cm
Group B: 139 cm, 148 cm, 132 cm, 151 cm, 140 cm
Which of the following is/are the true?
1. The range of the heights of the two groups of student are the same.
2. The means of the heights of the two groups of students are the same. Show Answer

Q9) Standard deviation of data is 12 and mean is 72 then coefficient of variation is ________. Show Answer

Q10) The S.D. of 3, 8, 6, 10, 12, 9, 11, 10, 12, 7 is 2.71, then S.D. of 30, 80, 60, 100, 120, 90, 110, 120, 70 is ________. Show Answer

Q11) The S.D. of wages of 85 employees is Rs. 15.40. After one year each of them is given as increment of Rs. 25. The standard deviation of new wages (in Rs.) is _________. Show Answer

Q12) The sum of 10 items is 12 and sum of their squares is 18, then standard deviation will be __________. Show Answer

Q13) Which of the following is not a valid reason for measuring the dispersion? Show Answer

Q14) The simplest measure of dispersion is _____. Show Answer

Q15) Which is the best measure of dispersion? Show Answer

Q16) The relative measure of dispersion based on quartiles is _____. Show Answer

Q17) How many are the different measures of dispersion? Show Answer

Q18) Which of the following is least affected by the extreme values of the observations in the data? Show Answer

Q19) Which measure of dispersion considers middle 50% of the observations? Show Answer

Q20) Which of the following is a relative measure of dispersion? Show Answer

Q21) In which measure of dispersion average of the squares of deviations from mean is taken? Show Answer

Q22) The other name of quartile deviation is _____. Show Answer

Q23) It is the measure of dispersion showing the percentage of deviation. Show Answer

Q24) The value of standard deviation is always _____. Show Answer

Q25) If all the observations of the data set are identical, then each of the measurement of dispersion is ______. Show Answer

Q26) If S = 48 and L = 52, what is coefficient of range? Show Answer

Q27) Find the variance of first five natural numbers. Show Answer

Q28) If the mean and coefficient of variation are 32 and 8 respectively, then the standard deviation is _____. Show Answer

Q29) The standard deviation of 20 observations is 5.6. If each observation is increased by 2 and divided by 1.4 then the standard deviation is _______. Show Answer

Q30) The variance of 10 observations is 16. If each observation is decreased by 3 and multiplied by 2, then the variance is _____. Show Answer

Q31) If the largest observation is 12 more than the smallest observation, then which of the following is the range of observation? Show Answer

Q32) If the upper and lower quartile for a distribution are 75 and 55 respectively, then which of the following is the semi-inter quartile range for the data? Show Answer

Q33) If for a certain data, quartile deviation is 25 and the upper quartile is 60, then which of the following is the lower quartile of the data? Show Answer

Q34) If for a data C.V. = 24% and mean = 40, then what will be the value of variance? Show Answer

Q35) The mean and standard deviation of a data are 120 and 15, then which of the following is C.V. for the data? Show Answer

Q36) If the mean and C.V. are 40 and 16%, then what is standard deviation? Show Answer

Q37) If the variance and C.V. of a distribution are 16 and 20%, what is the value of mean? Show Answer

Q38) If the largest and smallest values of a data are 5 and -5 respectively, then which of the following is the coefficient of range? Show Answer

Q39) If semi-inter quartile range of the data is 10 and sum of the upper and lower quartiles is 50, what will be the value of coefficient quartile deviation? Show Answer

Q40) If the coefficient of range is 0.2 and L = 60, then what is the value of S? Show Answer

Q41) Range of the observations 8, 12, -5, -1, -9, 10 and 5 is _____. Show Answer

Q42) Semi-inter quartile range of the data -10, -4, 0, 3, -3, 7 and 5 is _____. Show Answer

Q43) Variance of 2, 3, 5, 6, is _____. Show Answer

Q44) The coefficient of range for the following data is _____.
121, 130, 108, 145, 98, 100
Show Answer

Q45) Standard deviation of the observations a – 1, a, a + 1, a + 2 (where a = 2) is _____. Show Answer

Q46) Which of the following gives the range of the data? Show Answer

Q47) If the largest and the smallest observations of the data are 170 and 40 respectively, then which of the following is the range of the data? Show Answer

Q48) If lower and upper quartiles for a certain data are 20 and 100 respectively, then which of the following is the quartile deviation for the data? Show Answer

Q49) For a certain data, quartile deviation is 45 and the lower quartile is 30. Then which of the following is the upper quartile of the data? Show Answer

Q50) If the mean and standard deviation of the data are 64 and 16 respectively, then what is the coefficient of variation? Show Answer

Q51) If the mean and coefficient of variation are 48 and 16 respectively, then what is the standard deviation? Show Answer

Q52) If the mean and coefficient of variation are 50 and 20 respectively, then which of the following is the variance? Show Answer

Q53) If coefficient of variation of two distributions are 60% and 75%, and their standard deviation are 18 and 15 respectively. Then their arithmetic means are ______. Show Answer

Q54) The means of five observations is 4 and their variance is 5.2. If three of these observations are 1, 2 and 6, then the other two are ______. Show Answer

Q55) The value of standard deviation is always ______. Show Answer

Q56) For a frequency distribution, standard deviation is computed by ______. Show Answer

Q57) The S.D. of 5 scores 1, 2, 3, 4, 5 is ______. Show Answer

Q58) The variance of the data 2, 4, 6, 8, 10 is ______. Show Answer

Q59) For a given distribution of marks, mean is 35.16 and its standard deviation is 19.76. The coefficient of variation is ______. Show Answer