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Exam:
664 quizzes
The monthly earnings of nine workers are close together, but the earnings of a tenth worker, the manager, are twenty times as large as the earnings of any other worker. The manager's earnings are then doubled. Which of the following measures change? New
High School (11–12) · Statistics
APA-LevelIB+19APA-LevelIB
StemPy LabStemPy Lab
Medium
The histogram shows the time, in minutes, that 40 customers waited at a counter. The classes are 0 to 5, 5 to 10, 10 to 15, 15 to 20 and 20 to 25. In which class does the median waiting time lie? New
High School (11–12) · Statistics
APA-LevelIB+19APA-LevelIB
StemPy LabStemPy Lab
Medium
The numbers of emails received by an office on five days were 5, 12, 9, 14 and 15. What is the mean deviation about the mean? New
High School (11–12) · Statistics
APA-LevelIB+19APA-LevelIB
StemPy LabStemPy Lab
Medium
A student finds the standard deviation of the numbers 1, 3, 5. The mean is 3, the squared deviations are 4, 0, 4, their sum is 8, and she divides by 3 to get 8/3. She writes that the standard deviation is 8/3. Where is her mistake? New
High School (11–12) · Statistics
APA-LevelIB+19APA-LevelIB
StemPy LabStemPy Lab
Medium
For six numbers, Σ x = 30 and Σ x² = 240. Using the shortcut formula for the group, what is the variance? New
High School (11–12) · Statistics
APA-LevelIB+19APA-LevelIB
StemPy LabStemPy Lab
Medium
A park ranger groups the lengths of 40 fallen branches, in classes of width 10 centimetres: 0 to 10 with frequency 3, 10 to 20 with 9, 20 to 30 with 14, 30 to 40 with 10 and 40 to 50 with 4. What is the median length, to two decimal places? New
High School (11–12) · Statistics
JEE AdvancedAPA-Level+26APA-LevelIB
StemPy LabStemPy Lab
Hard
A technician measures the voltage of a battery five times and gets 10, 13, 14, 16 and 17 volts. She treats the readings as a random sample of all possible readings and wants an estimate of the variance of the voltage. What is the sample variance? New
High School (11–12) · Statistics
JEE AdvancedAPA-Level+26APA-LevelIB
StemPy LabStemPy Lab
Hard
Two brands of light bulbs are tested. Brand X has a mean life of 800 hours and a standard deviation of 56 hours. Brand Y has a mean life of 1200 hours and a standard deviation of 72 hours. Which brand has the more consistent life, and what is its coefficient of variation? New
High School (11–12) · Statistics
APA-LevelIB+19APA-LevelIB
StemPy LabStemPy Lab
Medium
A data set has mean 6 and variance 5. Every value is multiplied by 4. What is the variance of the new data set? New
High School (11–12) · Statistics
APA-LevelIB+19APA-LevelIB
StemPy LabStemPy Lab
Medium
A group of 10 students has a standard deviation of 4 marks and a group of 30 students has a standard deviation of 8 marks. A student says that the standard deviation of all 40 is (10 × 4 + 30 × 8)/40 = 7 marks. What is wrong with this? New
High School (11–12) · Statistics
APA-LevelIB+19APA-LevelIB
StemPy LabStemPy Lab
Medium
The numbers of pages read by a student on seven days were 4, 9, 12, 15, 21, 26 and 30. The librarian uses the rule that leaves out the median when the number of values is odd. What is the interquartile range? New
High School (11–12) · Statistics
APA-LevelIB+19APA-LevelIB
StemPy LabStemPy Lab
Medium
A data set has a lower quartile of 18 and an upper quartile of 30. A reading above the upper fence, which is 1.5 interquartile ranges above the upper quartile, is marked as an outlier. What is the smallest whole number that would be marked as an outlier? New
High School (11–12) · Statistics
APA-LevelIB+19APA-LevelIB
StemPy LabStemPy Lab
Medium
Ten readings have a mean of 30 and a standard deviation of 5. One reading of 24 is found to be wrong, and the correct reading is 34. What is the variance of the corrected readings? New
High School (11–12) · Statistics
JEE AdvancedAPA-Level+26APA-LevelIB
StemPy LabStemPy Lab
Hard
The figure shows box plots of the marks of two classes, P and Q, on the same scale. Class P has the box from 40 to 60 with the median at 50. Class Q has the box from 45 to 85 with the median at 70. Which statement about the two classes is correct? New
High School (11–12) · Statistics
JEE AdvancedAPA-Level+26APA-LevelIB
StemPy LabStemPy Lab
Hard
For a set of data, Sxx = 36, Syy = 49 and Sxy = -35. What is the correlation coefficient, to two decimal places? New
High School (11–12) · Statistics
APA-LevelIB+19APA-LevelIB
StemPy LabStemPy Lab
Medium
For some data the correlation coefficient is 0.5, the standard deviation of x is 4 and the standard deviation of y is 12. What is the slope of the regression line of y on x? New
High School (11–12) · Statistics
APA-LevelIB+19APA-LevelIB
StemPy LabStemPy Lab
Medium
The regression line of y on x for a data set is y = 3x + 2, and the mean of x is 4. What is the mean of y? New
High School (11–12) · Statistics
APA-LevelIB+19APA-LevelIB
StemPy LabStemPy Lab
Medium
A line of best fit was found from a data set in which x ran from 10 to 50. Which of these predictions is an interpolation? New
High School (11–12) · Statistics
APA-LevelIB+19APA-LevelIB
StemPy LabStemPy Lab
Medium
A student finds that the correlation between two variables is 0.5 and says that the line explains 50% of the variation in y. A teacher says that this is wrong. What is the correct percentage? New
High School (11–12) · Statistics
APA-LevelIB+19APA-LevelIB
StemPy LabStemPy Lab
Medium
For a data set, the regression coefficient of y on x is -2 and the regression coefficient of x on y is -0.125. What is the correlation coefficient? New
High School (11–12) · Statistics
JEE AdvancedAPA-Level+26APA-LevelIB
StemPy LabStemPy Lab
Hard
The figure shows the number of cups of hot drinks sold by a cafe against the noon temperature on eight days. The line of best fit passes through the point of the means, (24, 50), and its slope is -2.5 cups for each degree. What number of cups does the line predict for a noon temperature of 30 °C? New
High School (11–12) · Statistics
JEE AdvancedAPA-Level+26APA-LevelIB
StemPy LabStemPy Lab
Hard
A ticket for a prize draw costs 12 rupees. The organiser has 10 tickets in a box. One of them wins 50 rupees, two win 20 rupees each, and the other seven win nothing. A player buys one ticket from the box at random. What is the expected net gain of the player, in rupees? New
High School (11–12) · Random Variables and Probability Distributions
APA-LevelIB+19APA-LevelIB
StemPy LabStemPy Lab
Medium
A binomial random variable has mean 8 and variance 4.8. Which pair of values of n and p fits? New
High School (11–12) · Random Variables and Probability Distributions
APA-LevelIB+19APA-LevelIB
StemPy LabStemPy Lab
Medium
The bar chart shows the distribution of X, the number of seeds that germinate out of 5 planted seeds. Each seed germinates with the same probability, independently, and the bar heights are written on the chart. What is the probability that at least 2 seeds germinate? New
High School (11–12) · Random Variables and Probability Distributions
APA-LevelIB+19APA-LevelIB
StemPy LabStemPy Lab
Medium
A machine fills 12 jars in a batch. Each jar is overfilled with probability 0.1, independently of the others. What is the probability that at most one jar in the batch is overfilled? New
High School (11–12) · Random Variables and Probability Distributions
APA-LevelIB+19APA-LevelIB
StemPy LabStemPy Lab
Medium
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