Measures of central tendency and position

Instructions:

In this task, we will work with the measures of central tendency and position. You will determine the measures of central tendency for populations and samples, both for ungrouped data and for grouped data. In addition, you will interpret the measures of central tendency and the measures of position of a population or sample. You must present the necessary processes to support the answer of the exercises and round the final resultsnot the intermediate values that appear during the calculationsto two (2) decimal places, when necessary.

Part I

1) Which of the measures of central tendency do you think you would use more? Provide one (1) example.

Part II

1) Explain what a positive bias and a negative bias mean in relation to the mean, mode, and median.

Part III

1) If you were allowed to choose between the mean, the median or the mode to calculate the measures to make a decision about a data set, which of the three measures would you use and why?

Part IV

1) Using the data below, find the mean, mode, and median: 77, 98, 87, 111, 95, 93, 88, 90, 62, 71, 99.

Part V

1) Find the first and third quartiles for the temperatures for one week in the summer of last year, expressed in degrees Fahrenheit: 97, 95, 93, 88, 92, 96, 87.

Part VI

1) Below is a table of frequencies. Calculate the mean, mode and median. Limits Frequency (f) 110-115 19 116-121 24 122-127 18 128-133 21 134-139 9 140-145 21 146-151 17

Part VII

1) Below is the weight data (pounds) of a group of babies born at Hospital Auxilio Mutuo last month: 5.8, 6.0, 7.3, 7.1, 7.1, 8.1, 6.4, 7.3, 7.2, 6.6, 6.1, 5.8, 5.7, 6.4, 7.3, 7.0, 7.3, 6.2, 4.8, 5.1, 7.7, 6.9. Calculate the following values:

a) average b) fashion c) median d) average path e) middle axis f) Q1 g) Q3 h) P32 i) Q91

Part VIII

1) Using the data below, make a box plot (summary of five (5) numbers): 114, 90, 123, 98, 78, 118, 66, 78, 90, 69, 85, 99, 111, 77 , 83, 71, 69, 93.