Statistics and variable types Describe how you might use statistics in your ever
ID: 3919182 • Letter: S
Question
Statistics and variable types
Describe how you might use statistics in your everyday life?
Answer: there are some statistics, which are used in our everyday life.
1. Weather forecasts
2. Emergency preparedness
3. Medical studies
4. Insurance
5. Consumer Goods
What is the difference between populations and samples?
Answer:
Explain how interval and ratio scales differ.
Explain how ordinal and nominal variables differ.
Understanding Graphs
1. It is believed that hunger is partly controlled by external (environmental) cues. To investigate this a random sample of 60 first year students was selected and each student was in turn randomly allocated to one of three groups. Each group of 20 students was put into a room with a large clock prominently displayed on the wall, and asked to complete a questionnaire. In the first room, the clock on the wall showed the correct time. In the other rooms the clock was either one hour fast or one hour slow. The actual time, 5.30pm, was the usual evening meal time for all of the students. While the participants filled out the questionnaire, some dry biscuits and cheese were freely available. The weight of the biscuits and cheese consumed by each student was calculated; the means were: 4.30 group, 200gm; 5.30 group, 300gm; and 6.30 group, 400gm. Identify the following:
the dependent variable
the independent variable
a population of interest
a sample
a statistic that was calculated
a variable measured on a nominal scale
a variable measured on a ratio scale
What did this study find?
Understanding descriptive statistics
In what way does the median represent the middle of the distribution?
In what way is the mean the balancing point of a distribution?
Calculate the mean and the median for the following data values:
5, 7, 8, 2, 3, 8;
1.2, 0.8, 1.1, 0.6, 25
Why doesn’t it make sense to add up the numbers on the back of football jumpers to get an average?
Explanation / Answer
As we know median is the middle value in distribution when the values are arranged in ascending or descending order and median is less affected by outliers and skewed data than the mean, and is usually the preferred measure of central tendency when the distribution is not symmetrical.
And The mean is the sum of the value of each observation in a dataset divided by the number of observations. This is also known as the arithmetic average and The mean can be used for both continuous and discrete numeric data.
mean = 5+7+8+2+3+8/6 = 5.5 median =(5+7)/2 = 6
mean = 1.2+0.8+1.1+0.6+25 / 5= 5.74 median = 1.1 (middle element)
We cant find average by it as they are random numbers and it will not give central tendency data by mean else it can be given by median given data is not varying very much.