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Question
What is ‘loss of information’ in classified data?
Solution
‘Loss of information’ is a major drawback of the classified data. The classification or grouping of raw data into classes makes it more concise and understandable. But simultaneously there exists a loss of information. The calculations involved in the classified data or the continuous series are based on the class midpoints. The items in such series cannot be exactly measured and consequently, an individual observation loses its importance during the statistical calculations. Further, the statistical calculations are based on the values of the class marks, ignoring the exact observations of the data leading to the problem of loss of information.
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RELATED QUESTIONS
Do you agree that classified data is better than raw data? Why?
"The quick brown fox jumps over the lazy dog"
Examine the above sentence carefully and note the numbers of letters in each word. Treating the number of letters as a variable, prepare a frequency array for this data.
Distinguish between univariate and bivariate frequency distribution.
Prepare a frequency distribution by inclusive method taking class interval of 7 from the following data:
28 |
17 |
15 |
22 |
29 |
21 |
23 |
27 |
18 |
12 |
7 |
2 |
9 |
4 |
1 |
8 |
3 |
10 |
5 |
20 |
16 |
12 |
8 |
4 |
33 |
27 |
21 |
15 |
3 |
36 |
27 |
18 |
9 |
2 |
4 |
6 |
32 |
31 |
29 |
18 |
14 |
13 |
15 |
11 |
9 |
7 |
1 |
5 |
37 |
32 |
28 |
26 |
24 |
20 |
19 |
25 |
19 |
20 |
6 |
9 |
Use the data in the Table below that relate to monthly household expenditure (in Rs) on the food of 50 households and
1904 | 1559 | 3473 | 1735 | 2760 |
2041 | 1612 | 1753 | 1855 | 4439 |
5090 | 1085 | 1823 | 2346 | 1523 |
1211 | 1360 | 1110 | 2152 | 1183 |
1218 | 1315 | 1105 | 2628 | 2712 |
4248 | 1812 | 1264 | 1183 | 1171 |
1007 | 1180 | 1953 | 1137 | 2048 |
2025 | 1583 | 1324 | 2621 | 3676 |
1397 | 1832 | 1962 | 2177 | 2575 |
1293 | 1365 | 1146 | 3222 | 1396 |
Monthly Household Expenditure (in Rupees) on Food of 50 Households
Divide the range into an appropriate number of class intervals and obtain the frequency distribution of expenditure.