Find the 5th and 95th percentiles for average temperatures from a group of 106 people using the sample statistics given in the introduction. The table presented here displays a list of temperatures and their corresponding frequencies. The "Temp" column lists various temperature values, while the "Frequency" column indicates the number of times each temperature was observed.- **96.5°F** has a frequency of **1**.- **96.9°F** has a frequency of **1**.- **97.0°F** has a frequency of **3**.- **97.1°F** has a frequency of **3**.- **97.2°F** has a frequency of **1**.- **97.3°F** has a frequency of **3**.- **97.4°F** has a frequency of **3**.- **97.5°F** has a frequency of **2**.- **97.6°F** has a frequency of **6**.- **97.7°F** has a frequency of **1**.- **97.8°F** has a frequency of **5**.- **97.9°F** has a frequency of **3**.- **98.0°F** has a frequency of **13**.- **98.1°F** has a frequency of **0**.- **98.2°F** has a frequency of **5**.- **98.3°F** has a frequency of **2**.- **98.4°F** has a frequency of **12**.- **98.5°F** has a frequency of **4**.- **98.6°F** has a frequency of **15**.- **98.7°F** has a frequency of **6**.- **98.8°F** has a frequency of **7**.- **98.9°F** has a frequency of **2**.- **99.0°F** has a frequency of **2**.- **99.1°F** has a frequency of **1**.- **99.2°F** has a frequency of **1**.- **99.3°F** has a frequency of **0**.- **99.4°F** has a frequency of **2**.- **99.5°F** has a frequency of **1**.- **99.6°F** has a frequency of **1**.This dataset could be used for statistical analysis, such as determining the most common temperature or analyzing the distribution pattern of temperature measurements.

Name: Find the 5th and 95th percentiles for average temperatures from a grou
Uploaded: 2024-03-20T07:06:16.000Z
Channel: Bartleby
Description: Find the 5th and 95th percentiles for average temperatures from a group of 106 people using the sample statistics given in the introduction. The table presented here displays a list of temperatures and their corresponding frequencies. The "Temp" colu

The pth percentile of a set of observations is the value below which, p% or (p/100) proportion of the observations lie. The frequency of a class or observation is the number of values corresponding to it. The relative frequency of a certain class or observation in a data set is obtained by dividing the class or observation frequency by total frequency. The cumulative frequency of that class or observation is the sum of the frequencies up to that particular observation, including that of the observation, in an ordered (increasing or decreasing) arrangement of the data.Consider the below table for necessary calculation. Temperature Frequency Cumulative Frequency Relative Cumulative frequency Relative percentage Cumulative Frequency (=Relative Cumulative frequency × 100 ) 96.5 1 1 0.009434 0.94 96.9 1 2 0.018868 1.89 97 3 5 0.04717 4.72 97.1 3 8 0.075472 7.55 97.2 1 9 0.084906 8.49 97.3 3 12 0.113208 11.32 97.4 3 15 0.141509 14.15 97.5 2 17 0.160377 16.04 97.6 6 23 0.216981 21.70 97.7 1 24 0.226415 22.64 97.8 5 29 0.273585 27.36 97.9 3 32 0.301887 30.19 98 13 45 0.424528 42.45 98.1 0 45 0.424528 42.45 98.2 5 50 0.471698 47.17 98.3 2 52 0.490566 49.06 98.4 12 64 0.603774 60.38 98.5 4 68 0.641509 64.15 98.6 15 83 0.783019 78.30 98.7 6 89 0.839623 83.96 98.8 7 96 0.90566 90.57 98.9 2 98 0.924528 92.45 99 2 100 0.943396 94.34 99.1 1 101 0.95283 95.28 99.2 1 102 0.962264 96.23 99.3 0 102 0.962264 96.23 99.4 2 104 0.981132 98.11 99.5 1 105 0.990566 99.06 99.6 1 106 1 100.00 Total 106 - - - From the table it is obtained that, for the temperature 97.1, the Relative percentage Cumulative Frequency is 7.55%, which just crosses 5%. It mean, below 97.1 temperature 5% of the observations lie. Thus, the temperature is 97.1. From the table it is obtained that, for the temperature 99.1, the Relative percentage Cumulative Frequency is 95.28%, which just crosses 95%. It mean, below 99.1 temperature 95% of the observations lie. Thus, the temperature is 99.1.