Please explain and answer this question...I woul really appreciate it Vital to m
ID: 91329 • Letter: P
Question
Please explain and answer this question...I woul really appreciate it
Vital to many diseases are the agents that cause the disease and the environment in which they grow. Bacteria and molds are very sensitive to temperature and water vapor pressure (a_w). In Anguilla, these conditions are most suitable to bacterial and mold growth. Below is a table that documents the monthly temperatures and humidity levels. Find the mean, median, mode, and standard deviation for annual summary statistics. Annual High Temp: Mean: Median: Mode: Std. Deviation: Annual Low Temp: Mean: Median: Mode: Std. Deviation: Annual Precipitation: Mean: Median: Mode: Std. Deviation:Explanation / Answer
Mean, median and mode are measures of central tendency and standard deviation is a measure of deviation. Mean is obtained by dividing the sum of all items with the number of items. Median is obtained by arranging the given data either in ascending or descending order and selecting the middle value. Mode is the most repeated measure of the given data set. Standard deviation is the measure for how much the members of the group differ from mean value of that group.
Annual high temperature:
Arranging the data in ascending order,
28, 28, 28, 28, 28, 29, 30, 30, 31, 31, 31, 31
Mean = (28+28+28+28+28+29+30+30+31+31+31+31) / 12
= 353/12
= 29.42
Median is the central value
= (29 + 30) /2
= 59/2
= 29.5
Mode is the most repeated value. The value 28 occurs five times and it is the mode here.
Standard deviation is given by the formula,
SD = summation squareroot of (X - mean)2 / n, where n is the number of items.
SD = summation squareroot of (28-29.42)2 / 12 + ..... (31-29.42)2 /12
SD = 1.37
Annual low temperature:
Arranging the data in ascending order
23,23,23,24,25,25,25,26,26,26,26,26
Mean = (23+23+23+24+25+25+25+26+26+26+26+26)/12
= 298/12
= 24.83
Median is (25+25)/2
= 50/2
= 25
Mode is 26 here because it is repeated 5 times.
Standard deviation,
= summation squareroot of (23-24.83)2 / 12 + .....+ (26-24.83)2 /12
= 1.27