Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment program. Suppose that a new AIDS antibody drug is currently under study. It is given to patients once the AIDS symptoms have revealed themselves. Of interest is the average length of time in months patients live once starting the treatment. Two researchers each follow a different set of 40 AIDS patients from the start of treatment until their deaths. The following data (in months) are collected.Researcher 1: 3; 4; 11; 15; 16; 17; 22; 44; 37; 16; 14; 24; 25; 15; 26; 27; 33; 29; 35; 44; 13; 21; 22; 10; 12; 8; 40; 32; 26; 27; 31; 34; 29; 17; 8; 24; 18; 47; 33; 34Researcher 2: 3; 14; 11; 5; 16; 17; 28; 41; 31; 18; 14; 14; 26; 25; 21; 22; 31; 2; 35; 44; 23; 21; 21; 16; 12; 18; 41; 22; 16; 25; 33; 34; 29; 13; 18; 24; 23; 42; 33; 29Compute the mean, median, mode, range, and standard deviation for the data sets for each researcher.

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Asked Nov 15, 2019
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Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment program. Suppose that a new AIDS antibody drug is currently under study. It is given to patients once the AIDS symptoms have revealed themselves. Of interest is the average length of time in months patients live once starting the treatment. Two researchers each follow a different set of 40 AIDS patients from the start of treatment until their deaths. The following data (in months) are collected.

  • Researcher 1: 3; 4; 11; 15; 16; 17; 22; 44; 37; 16; 14; 24; 25; 15; 26; 27; 33; 29; 35; 44; 13; 21; 22; 10; 12; 8; 40; 32; 26; 27; 31; 34; 29; 17; 8; 24; 18; 47; 33; 34

  • Researcher 2: 3; 14; 11; 5; 16; 17; 28; 41; 31; 18; 14; 14; 26; 25; 21; 22; 31; 2; 35; 44; 23; 21; 21; 16; 12; 18; 41; 22; 16; 25; 33; 34; 29; 13; 18; 24; 23; 42; 33; 29

Compute the mean, median, mode, range, and standard deviation for the data sets for each researcher.

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Step 1

The value of mean, median, mode, range and standard deviation for the data sets for researcher 1 is obtained below:

Step-by-step procedure to obtain the mean, median, mode, range and standard deviation using MINITAB:

  • Choose Stat > Basic Statistics > Display Descriptive Statistics.
  • In Variables enter the columns Researcher 1.
  • Choose option statistics, and select mean, median, mode, range and standard deviation.
  • Click OK.

Output using MINITAB software is given below:

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Descriptive Statistics: Reasercher 1 N for Variable Median Mode Mode Mean StDev Range 23.57 11.26 24.00 44.00 8, 15, 16, 17 2 Reasercher 1 The data contain at least five mode values. Only the smallest four are shown

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Step 2

From the MINITAB output the value of mean for researcher 1 is 23.57.

From the MINITAB output the value of median for researcher 1 is 24.00.

From the MINITAB output the N for mode for researcher 1 is 2.

From the MINITAB output the value of range for researcher 1 is 44.00.

From the MINITAB output the value of standard deviation for researcher 1 is 11.26.

The value of mean, median, mode, range and standard deviation for the data sets for researcher 2 is obtained below:

Step-by-step procedure to obtain the mean, median, mode, range and ...

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Descriptive Statistics: Researcher 2 N for Variable Median Mode Mode Mean StDev Range 22.00 Researcher 2 22.77 10.38 42.00 14, 16, 18, 21

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