Sample mean and sample standard deviation of the data

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(Show your calculation steps clearly. Correct you answer to 4 decimal places and report the measurement unit when applicable)

Question 1: The household expenditure (HK$) of 12 sampled families with 4 members in Hong Kong in September 2019 were as follows:

                  8095     6745     4427     2192     4697     7549
                  4302     4209     3520     7621     2757     6441
  1. Find the sample mean and sample standard deviation of the data.
  2. Find the inter-quartile range of the data.
  3. Find the 15th percentile and 85th percentile of the data.
  4. Use the sampled data as reference, what is the probability that the household expenditure of a family with
  5. 4 members in Hong Kong in September 2019 was more than $5000?
  6. Use X to denote the household expenditure in a month and Y to denote the household saving in a month.
  7. Assume Y = 6200 - 0.4X. Find the mean, standard deviation and the variance of variable Y in this sample.

Reference no: EM132474353

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