For the following set of scores:
8 6 7 5 4 10 8 9 5 7 2 9
9 10 7 8 8 7 4 6 3 8 9 6
a. Construct a frequency distribution table.
b. Sketch a histogram showing the distribution.
c. Describe the distribution using the following characteristics:
(1) What is the shape of the distribution?
(2) What score best identifies the center (average)
for the distribution?
(3) Are the scores clustered together, or are they spread out across the scale?
a)A frequency distribution table is
x | frequency |
2 | 1 |
3 | 1 |
4 | 2 |
5 | 2 |
6 | 3 |
7 | 4 |
8 | 5 |
9 | 4 |
10 | 2 |
b) histogram
c) histogram is
(1) The histogram moves to right side so shape of distribution is negatively skewd.
(2) The maximum frequency observed to the value of X = 8 ,so the center for the distribution is 8.
(3) We observe that all observations are concentrate near the center, so they are clusterd together.
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