to Tread. potential limit n may conta ghest freg rize the 2 POCKET & in so Which measure of central tendency should be used to describe the following? mod A. Students rank order in class (top of the class, average, less than average). har the B. The gender of participants in a study. di C. A professor uses a standardized test to measure verbal skills for a sample of incoming college students. he D. A researcher asks each participant to select his or her favorite color from a set of eight color patches. 4. One question on a student survey asks: In a typical week, how many times do you eat a fast food restaurant? The following frequency distribution table summarizes the results for a sample of 16 students. Complete the table. di rel.f ハ=I6 Number of times per week rel. f cf Percentile 2こ 16 =13 5こ163、31 2 ニ6= 13 4ニ=、25 .16 16 100 0 4. 2. .13 IS 93-75 .31 13 1.25 =ミて 8. 50.0 cf :13 4 6. 37.5 2+0=2 -25 4+2=6 13 12.5 2+4+2=8 15 16X100= 93-75 13:16XL00%3 81.25 5+2+4+2=13 2+S+2+4+2=IS 1+2+ St2+4+2a. What is the n? 16 0 10:0010つにっ 8ミ16x100= 50.0 6:16x 100= 37.5 Nean: う×1-5 b. What is the mode? 3 2:16X100= 125 4×2=8 3x S- I5 C. What is the median? f 2x2=4 d. What is the mean? 2-2s 3D2.25 16 36 %3D Medran: 2425 5. 2 |Frequency Distribution and Central Tendency Riess
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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