Dan is doing research on organic farming for an agricultural foundation. He has collected data on the number of oranges harvested from individual trees in two different orchards. In each orchard, the number of oranges harvested from each of 57 trees was recorded. The histograms below show the distributions of the two data sets. The means and standard deviations for the data sets are also given. Orchard 1 Orchard 2 25- 25- 20- 20 15- 15- 10- 10- 5- 199.5 219.5 239.5 259.5 2795 299.5 319.5 339.5 359.5 199.5 219.5 239.5 259.5 279,5 299.5 3195 339.5 359.5 Orchard 1 mean: 275.1 oranges Orchard 2 mean: 274.9 oranges Orchard 1 standard deviation: 23.2 oranges Orchard 2 standard deviation: 47.9 oranges Dan ants 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 Dan 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) v data set. For the data set identified in part (a), use the Empirical Rule to make the following approximations. (b) The percentage of the number of oranges harvested between 251.9 oranges and 298.3 oranges is approximately (Choose one) ▼ (c) Approximately 95% of the number of oranges harvested are between oranges and oranges.
Dan is doing research on organic farming for an agricultural foundation. He has collected data on the number of oranges harvested from individual trees in two different orchards. In each orchard, the number of oranges harvested from each of 57 trees was recorded. The histograms below show the distributions of the two data sets. The means and standard deviations for the data sets are also given. Orchard 1 Orchard 2 25- 25- 20- 20 15- 15- 10- 10- 5- 199.5 219.5 239.5 259.5 2795 299.5 319.5 339.5 359.5 199.5 219.5 239.5 259.5 279,5 299.5 3195 339.5 359.5 Orchard 1 mean: 275.1 oranges Orchard 2 mean: 274.9 oranges Orchard 1 standard deviation: 23.2 oranges Orchard 2 standard deviation: 47.9 oranges Dan ants 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 Dan 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) v data set. For the data set identified in part (a), use the Empirical Rule to make the following approximations. (b) The percentage of the number of oranges harvested between 251.9 oranges and 298.3 oranges is approximately (Choose one) ▼ (c) Approximately 95% of the number of oranges harvested are between oranges and oranges.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text:Dan is doing research on organic farming for an agricultural foundation. He has collected data on the number of oranges harvested from individual trees in two
different orchards. In each orchard, the number of oranges harvested from each of 57 trees was recorded. The histograms below show the distributions of the
two data sets. The means and standard deviations for the data sets are also given.
Orchard 1
Orchard 2
25
25
20-
20-
15+
15-
10+
10+
5+
5+
199.5 219.5 239.5 259.5 279.5 299.5 319.5 339.5 359.5
199.5 219.5 239.5 259.5 279.5 299.5 319.5 339.5 359.5
Orchard 1 mean: 275.1 oranges
Orchard 2 mean: 274.9 oranges
Orchard 1 standard deviation: 23.2 oranges
Orchard 2 standard deviation: 47.9 oranges
Dan 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 Dan 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) v data set.
For the data set identified in part (a), use the Empirical Rule to make the following approximations.
(b) The percentage of the number of oranges harvested between 251.9 oranges and 298.3 oranges is approximately
(Choose one) ▼
(c) Approximately 95% of the number of oranges harvested are between oranges and oranges.
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