n preparation for the 2019 Math class, Ms Yong decides to analyse the performance of the corresponding 2019 Math class. He seeks to use the results of the analysis as a benchmark for the 2019 class. At random, Ms Yong selects the following mini-test 1 marks (%) for 11 students from the 2020 class: 37, 53, 103, 53, 37, 30, 66, 68, 52, 47, 60 where the third and fourth sample moment are  7756.134 and  538709.8. To gain more insights from the performances, Ms Yong asks you to assist by answering the following: The average mini-test 1 mark (%) is  ? The top 35% of the sampled 2019 Math students got a mini-test 1 mark (%) that is at least? The sum of squared sample values is  ?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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n preparation for the 2019 Math class, Ms Yong decides to analyse the performance of the corresponding 2019 Math class. He seeks to use the results of the analysis as a benchmark for the 2019 class. At random, Ms Yong selects the following mini-test 1 marks (%) for 11 students from the 2020 class:

37, 53, 103, 53, 37, 30, 66, 68, 52, 47, 60

where the third and fourth sample moment are  7756.134 and  538709.8.
To gain more insights from the performances, Ms Yong asks you to assist by answering the following:

  1. The average mini-test 1 mark (%) is  ?
  2. The top 35% of the sampled 2019 Math students got a mini-test 1 mark (%) that is at least?
  3. The sum of squared sample values is  ?
  4. The unbiased sample variance is  ?
  5. The unbiased sample standard deviation is  ?
  6. The standardised measure of skewness is ? 
  7. Which one is correct:
    a.The standardised measure of skewness suggests that the sample is slightly positively skewed.

    b.The standardised measure of skewness suggests that the sample is slightly negatively skewed.

  8. The standardised measure of kurtosis is  ?

  9. Which one is correct:
    a.The standardised measure of kurtosis suggests that the sample is platykurtic.
    b.The standardised measure of kurtosis suggests that the sample is leptokurtic.

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