What proportion of horses weighs less than 165kgs

Assignment Help Basic Statistics

Reference no: EM133357599

Question 1. The following information regarding the performance of students in a quiz assessment item was reported. Mean = 6.5 marks, Median = 8 marks Mode = 9 marks. Comment on the shape of the distribution.

I. A frequency distribution of the weights of a sample of 30 horses in kilograms are given below: Class Frequency to 140 140 to 145 3 145 to 150 5 150 to 155 155 to 160 2 160 to 165 3 165 to 170 4 170 to 175 6

a. What proportion of horses weighs less than 165kgs?

b. What proportion of horses weighs between 150 and 170kgs?

III. The height of five children (two-digit values in centimetres) in a childcare centre are recorded as follows. 19 25 20 25 36

a. Calculate the standard deviation of the sample data. b. Calculate the 40th percentile of the sample data.

IV. What is wrong with this statement: "When the sample correlation coefficient is equal to 1 then the slope of the regression line will also be equal to 1".

V. If all the data points in a scatter diagram lie on the same line, what are the possible values you would expect for the coefficient of correlation? Explain why.

VI. The mean and median score in a Chemistry exam is 68 and 64, respectively. Due to the high level of difficulty of the exam, the lecturer decides to give 5 bonus points to every student. What will be the new mean and median scores? Provide a brief explanation.

Reference no: EM133357599

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