Our class recorded the temperature at noon each day for 45 school days in autumn. The lowest temperature (in °F) was 68, and the highest was 76. The table gives the mean, median, range, Summary values and interquartile range (IQR) of the data set. Mean Median Range IQR 8. 72 72 4. (a) Select the best description of center for the data set. (b) Select the best description of spread for the data set. OLooking at the range, we see that a "typical" day had a The difference between the largest and smallest temperature of about 8 °F. temperature (in °F) is 72. (This is the mean.) OLooking at the mean and median, we see that a "typical" The difference between the largest and smallest day had a temperature of about 72 °F. temperature (in °F) is 45. (This is the number of days the temperature was recorded.) OLooking at the IQR, we see that a "typical" day had a temperature of about 4 °F. The difference between the largest and smallest temperature (in °F) is 8. (This is the range.) (c) Select the graph with the shape that best fits the summary values. OGraph 1 (The data set is not symmetric.) Graph 2 (The data set is symmetric.) 74 75 76 77 78 79 80 Notes Temperature (or) 69 70 71 72 73 74 75 76 Number of days Number of days
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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