The graph represents the distribution of the number of questions answered correctly on a 50-question math test.
A graph shows the horizontal axis numbered 24 to x. The vertical axis is unnumbered. The graph shows an upward trend from 24 to 36 then a downward trend from 36 to 48.
What is the standard deviation of the data?
4
8
12
24
Answers
Given : The graph represents the distribution of the number of questions answered correctly on a 50-question math test.
A graph shows the horizontal axis numbered 24 to x. The vertical axis is unnumbered. The graph shows an upward trend from 24 to 36 then a downward trend from 36 to 48.
To Find : standard deviation of the data
4
8
12
24
Solution:
The graph shows an upward trend from 24 to 36 then a downward trend from 36 to 48.
24 to 36 = 12
36 to 48 = 12
Its more like a bell curve
Hence Normal Distribution
Almost 100% of data is between standard deviation -3 to 3.
24 = 36 - 3 SD
=> SD = 4
Or
48 = 36 + 3 SD
=> SD = 4
standard deviation of the data = 4
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