A large employer gives all short listed applicants (n = 90) an aptitude test before considering them for interview. The file: THA 1 Test Scores.xlsx containing the dataset is available on Bb. Based on the data, answer the following questions.

(a)Using the Pivot Table in Excel, construct a frequency distribution table of the test scores and a histogram displaying the table. (Suggested class intervals: 11 - 20, 21 - 30, etc.)

(2 marks)

(b)Using Excel, compute the sample mean and sample standard deviation. No working is required. (Round your answers to 3 significant figures.)

(2 marks)

(c)Applying the common sense method locate the Q1, Q2 and Q3 of the test scores. Show your working. (Remember to sort the data first.)

Important note: If you use Excel or other applications to find the quartiles, you will not get any mark for this part.

(2 marks)

(d)By comparing Q2 and the sample mean comment on the skewness of the data. Explain your answer briefly.

(2 marks)

(e)An observation is a suspected outlier if it is more than 1.5 times the inter-quartile range (1.5 IQR) below Q1 or above Q3. Use this rule to locate any outliers in the dataset. Show your working.