Following data represent the focal length of convex lenses in mm. Use the data to construct a frequency distribution. 25 16 32 40 45 44 16 17 50 52 40 23 43 16 29 07 28 36 33 18 29 36 25 17 38 47 56 65 68 42 25 35 25 18 66 72 39 42 25 19 67 75 40 55 66 15 28 29 20 30 50 39 72 27 Required: Construct Frequency distribution. Sketch Histogram and frequency Polygon for the data. Find class marks. Find class boundaries. Find Relative frequency Find Cumulative frequency Construct O-Give using Cumulative frequency Find Mean, Median and Mode (for both Grouped & Ungrouped Data)
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.
Following data represent the focal length of convex lenses in mm. Use the data to construct a frequency distribution.
25 |
16 |
32 |
40 |
45 |
44 |
16 |
17 |
50 |
52 |
40 |
23 |
43 |
16 |
29 |
07 |
28 |
36 |
33 |
18 |
29 |
36 |
25 |
17 |
38 |
47 |
56 |
65 |
68 |
42 |
25 |
35 |
25 |
18 |
66 |
72 |
39 |
42 |
25 |
19 |
67 |
75 |
40 |
55 |
66 |
15 |
28 |
29 |
20 |
30 |
50 |
39 |
72 |
27 |
Required:
- Construct Frequency distribution.
- Sketch Histogram and frequency
Polygon for the data. - Find class marks.
- Find class boundaries.
- Find Relative frequency
- Find Cumulative frequency
- Construct O-Give using Cumulative frequency
- Find Mean,
Median andMode (for both Grouped & Ungrouped Data)
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