During different times of a day find the temperature in your place (yo

Sherry Becker

Sherry Becker

Answered question

2021-11-30

During different times of a day find the temperature in your place (you can use weather application to get data).
a. Fill the following table:
Data of day1/9/2020nizwaTimeAt 1:00amAt 5:00amAt 9:00amAt 1:00amAt 5:00amAt 9:00amTemperatureC262531373731
b. Calculate all central tendency measurements of the temperature.
c. Calculate standard deviation of the temperature.

Answer & Explanation

Howell

Howell

Beginner2021-12-01Added 11 answers

Step 1
b. Most commonly used measure of central tendencies are mean, median and mode.
Mean:
The arithmetic mean (also called the mean) is the most commonly used measure of central tendency. It is calculated by summing the observed numerical values of a variable in a set of data and then dividing the total by the number of observations involved.
Here, the number of observations is 6.
The sample mean for the given data can be obtained as follows:
Mean(x)=xn
=26+25+31+37+37+316
=1876
=31.167
Step 2
Median:
The median is the middle value in an ordered sequence of data. If there are no ties, half of the observations will be smaller than the median, and half of the observations will be larger than the median. In addition, the median is unaffected by extreme values in a set of data.
The ascending order of the data is given as follows:
25,26,31,31,37 and 37.
The median of the even number of observations can be obtained as follows:
Median=Mean of(n2)thand(n2+1)th observations
=Mean of(62)thand(62+1)th observations
=Mean of(3)rdand(4)th observations
=31+312
=31
Step 3
Mode:
Occasionally, when describing a set of data, the mode is used as a measure of central tendency. The mode is the most frequently occurring value in a data set.
Here, the temperatures 310C and 370C occur two times.
Thus, the modes are 310C and 370C.
Step 4
c. The sample standard deviation is calculated as follows:
s=i=1n(xix)2n1
=(2631.167)2+(2531.167)2++(3131.167)261
=132.835
=5.154

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