Classification, representation and central-tendency measures of data.
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Q1 · Statistics · EASY
The mean of five numbers is 18. If one number is excluded, the mean of the remaining four numbers becomes 16. What is the excluded number?
Q2 · Statistics · MEDIUM
The mode of the data set {3, 5, 7, 5, 9, 5, 11, x} is 5. If the mean of the data set is also 6, what is the value of x?
Q3 · Statistics · MEDIUM
The median of the following frequency distribution is 28. Find the value of x. Class Interval: 0-10, 10-20, 20-30, 30-40, 40-50 Frequency: 5, 8, x, 10, 7 Given that the total frequency is 40.
Q4 · Statistics · MEDIUM
A data set consists of 50 observations with a mean of 40 and a standard deviation of 5. If each observation is multiplied by 2 and then increased by 10, what will be the new mean and new standard deviation?
Q5 · Statistics · HARD
The mean and variance of 7 observations are 8 and 16 respectively. If 5 of the observations are 2, 4, 10, 12, 14, find the remaining two observations given that they are equal.