The following scores represent the final examination score for an elementary statistics course:45, 65, 23, 32, 57, 74, 60, 30, 17, 19, 80, 59.
(i) Compute five number summary.(ii) Construct a box and whisker plot and interpret the result.
State (i) which model has a longer average life?(ii) Which model is more consistent in terms of life?
Find: (i) the modal marks (ii) the lowest marks of the top 10% student.
What is the significance of normal probability distribution? What are the main properties of normal curve? The time it takes a cell to divide (called mitosis) is normally distributed with an average time of one hour and standard deviation of 4 minutes.
(i) What is the probability that a cell divides in less than 55 minutes?(ii) What is the time that it takes approximately 99% of all the cells to complete mitosis?
(i) Find the correlation coefficient between x and y. Interpret the value.(ii) Find the regression equation of y on x. Estimate the value of y when x = 16.(iii) Interpret the value of y-intercept and slope of the line.
Compute mean, median, range and standard deviation of above data.
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