(a) Identify the data set for which it is appropriate to use the Empirical Rule. It is appropriate to use the Empirical Rule for the (Choose one) data set. For the data set identified in part (a), use the Empirical Rule to make the following approximations. (b) The percentage of temperatures between 8.91 °C and 42.87 °C is approximately (Choose one) (c) Approximately 68% of the temperatures are between °C and C. 68% 75% 95% 99.7%

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Jim is a budding climate scientist and is analyzing historical data on the noontime temperature on each of two dates (Date 1 and Date 2) for each of the last 76
years at a weather station in Texas. The histograms below show the distributions of the two data sets. Each histogram shows temperature (in "C) on the
horizontal axis and the number of years on the vertical axis. The means and standard deviations for the data sets are also given
Date 1
Date 2
25-
20
15
10
5
0
1
12 16 20 24 28 32 36 40
Date 1 mean: 32.21 "C
Date 1 standard deviation: 8.77 "C
30-
15-
K
12 16 20 24 28 32 36 40 44
Date 2 mean: 25.89 "C
Date 2 standard deviation: 5.66 "C
Jim wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the Empirical Rule on only one of
them!
Answer the parts below to help Jim with his approximations
(a) Identify the data set for which it is appropriate to use the Empirical Rule
data set
It is appropriate to use the Empirical Rude for the (Choose one)
Date 1
for
the date set identified in part (a), use the Empirical Ruil Date 21
jeing approximations
(b) The percentage of temperatures between 891 "C and 42.87 "C is approximately (Choose one)
Bosh
Transcribed Image Text:Jim is a budding climate scientist and is analyzing historical data on the noontime temperature on each of two dates (Date 1 and Date 2) for each of the last 76 years at a weather station in Texas. The histograms below show the distributions of the two data sets. Each histogram shows temperature (in "C) on the horizontal axis and the number of years on the vertical axis. The means and standard deviations for the data sets are also given Date 1 Date 2 25- 20 15 10 5 0 1 12 16 20 24 28 32 36 40 Date 1 mean: 32.21 "C Date 1 standard deviation: 8.77 "C 30- 15- K 12 16 20 24 28 32 36 40 44 Date 2 mean: 25.89 "C Date 2 standard deviation: 5.66 "C Jim wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the Empirical Rule on only one of them! Answer the parts below to help Jim with his approximations (a) Identify the data set for which it is appropriate to use the Empirical Rule data set It is appropriate to use the Empirical Rude for the (Choose one) Date 1 for the date set identified in part (a), use the Empirical Ruil Date 21 jeing approximations (b) The percentage of temperatures between 891 "C and 42.87 "C is approximately (Choose one) Bosh
15-
10+
5-
0
8
12 16 20 24 28
32 36 40 44
Date 1 mean: 32.21 °C
Date 1 standard deviation: 8.77 °C
15-
10-
5+
0.//
8 12 16 20
24 28 32 36
Date 2 mean: 25.89 °C
Date 2 standard deviation: 5.66 °C
40 44
Jim wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the
them!
Answer the parts below to help Jim with his approximations.
(a) Identify the data set for which it is appropriate to use the Empirical Rule.
It is appropriate to use the Empirical Rule for the (Choose one)
data set.
For the data set identified in part (a), use the Empirical Rule to make the following approximations.
(b) The percentage of temperatures between 8.91 °C and 42.87 °C is approximately (Choose one)
(c) Approximately 68% of the temperatures are between °C and C.
68%
75%
95%
99.7%
Transcribed Image Text:15- 10+ 5- 0 8 12 16 20 24 28 32 36 40 44 Date 1 mean: 32.21 °C Date 1 standard deviation: 8.77 °C 15- 10- 5+ 0.// 8 12 16 20 24 28 32 36 Date 2 mean: 25.89 °C Date 2 standard deviation: 5.66 °C 40 44 Jim wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the them! Answer the parts below to help Jim with his approximations. (a) Identify the data set for which it is appropriate to use the Empirical Rule. It is appropriate to use the Empirical Rule for the (Choose one) data set. For the data set identified in part (a), use the Empirical Rule to make the following approximations. (b) The percentage of temperatures between 8.91 °C and 42.87 °C is approximately (Choose one) (c) Approximately 68% of the temperatures are between °C and C. 68% 75% 95% 99.7%
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