Its the from unit 4 of MU123 Discovering mathematics name of unit is statistical summarises.

(i) (ii) List any three features that you should be looking for when scanning datasets by eye. Comment on whether or not you think there might be a problem with any of the most extreme values in each column. page 4 of 7 (c) Copy and complete the following table using the datasets given above to work out the missing values. Number Of minutes to complete the test Minimum (Min) Lower quartile (QI) Median Upper quartile (Q3) Maximum (Max) Mean Standard deviation (SD) Interquartile range (IQR) Range Size of dataset (n) Industry standard 338.5 364.5 381.5 370.1 69.8 20 In-house 319.5 328.5 338.5 328.45 12 20 (ii) (ii) Identify the two measures of location from the table in part (c). Use both Of these measures to determine which Of the two datasets has the higher location. Identify the three measures of spread from the table in part (c). Which of the two datasets has the wider spread, as measured by each Of these three measures? The researcher concludes that the in-house software package runs quicker than the industry standard software package. Is this a reasonable conclusion? Explain your answer briefly. Which stage of the statistical investigation is used in part (e) (i)? Briefly justify your answer. (f) The researcher notices that the industry standard software package entry for the ninth test was a typing error. The correct value should have been 348. The revised mean and median for the industry standard software package data with the correct value for the ninth test are given in the following table. Industry standard software package Mean Median With typing error 370.1 364.5 With correct value 355.1 359.5 What is the effect on the mean and on the median of including the typing error instead of the correct value? Explain why this happens. (g) Would having the correct value affect the researcher's conclusion in part (e)(i)? Explain your answer briefly. page 5 of 7