.2) Tabulation & Display of Quantitative Data 1. Tabulation – Constr. a frequency Distr. Table Question 1 : Use the data provided in Q.3 of Section 3 to constr. a freq. distr. Table 1. The following data are marks of students in an examination. 24 61 36 81 45 37 78 65 60 39 47 51 35 82 63 60 58 37 52 24 90 87 18 8 29 46 35 64 27 50 a. Construct a frequency distribution for the data. b. Compile the cumulative frequency table and draw the cumulative frequency curve. c. If the minimum for grade A was fixed at 74, estimate from your curve the percentage of candidates obtaining grade A. HINTS : Step 1 : Determine the Range, R = HDV – LDV Step 2 : Determine the number of Classes, K K = 1 + 3.3 log N Step 3 : Determine the Width, W for the classes
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.
3.2) Tabulation & Display of Quantitative Data
1. Tabulation – Constr. a frequency Distr. Table
Question 1 : Use the data provided in Q.3 of Section 3 to
constr. a freq. distr. Table
1. The following data are marks of students in an examination.
24 61 36 81 45 37 78 65 60 39
47 51 35 82 63 60 58 37 52 24
90 87 18 8 29 46 35 64 27 50
a. Construct a frequency distribution for the data.
b. Compile the cumulative frequency table and draw the cumulative frequency curve.
c. If the minimum for grade A was fixed at 74, estimate from your curve the percentage of candidates
obtaining grade A.
HINTS :
Step 1 : Determine the
Step 2 : Determine the number of Classes, K
K = 1 + 3.3 log N
Step 3 : Determine the Width, W for the classes
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