To test the quality of food served by $200$ restaurants of a city draw 10 % stratified random sample. From $200$ restaurants $140$ is large and $60$ are small. To draw the sample random numbers are as follows:
For large restaurant: $137, 408, 071, 191, 014, 120, 394, 222, 026, 090, 172, 304, 200, 215, 146, 013, 348, 113, 160, 181$
For small restaurant : $572, 089, 008, 328, 078, 432, 107, 138, 247, 078, 115, 209$
→Classify the following data by taking the classes $\text{1—10, 11—20,……. 19, 9, 41, 8, 29, 24, 65, 52, 82, 77, 64, 79, .20, 26, 75, 6, 18, 53, 41, 28, 21, 27, 19, 13,44, 59, 73, 81, 86, 36, 70, 83, 16, 11, 47, 23, 51, 33, 23, 38.}$
→Find the mode of the observations $1.9, 1.99, 0.9, 0.99, 1.90, 1.09, 0.09, 1.0, 1.19, 1.9$. If each observation is increased by $1.04$ and then divided by $2$, find the new value of the mode.
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