The number (in thousands) of new houses sold each month in a country over a four year period is given in the accompanying table. Complete parts (a) and (b). | Click on the icon to view the table. (a) Find the standard deviation of the data. The standard deviation of the data is s= thousand. (Round to two decimal places as needed.) (b) In what percent of the months did new housing sales fall within one standard deviation of the mean? Within two standard deviations? Within three? New housing sales fell within one standard deviation of the mean in% of the months. (Round to the nearest tenth as needed.) New housing sales fell within two standard deviations of the mean in % of the months. (Round to the nearest tenth as needed.) New housing sales fell within three standard deviations of the mean in O% of the months. (Round to the nearest tenth as needed.)

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New Houses Sold each Month
Year 1 Year 2 Year 3 Year 4
Jan.
24
20
22
33
Feb.
24
20
31
39
Mar.
36
29
33
42
Apr.
May
43
28
33
40
26
29
33
43
June
30
29
32
43
July
Aug.
Sept.
27
24
32
32
20
26
31
29
27
25
30
31
Oct.
23
26
31
37
Nov.
21
29
29
32
Dec.
23
25
30
29
Transcribed Image Text:New Houses Sold each Month Year 1 Year 2 Year 3 Year 4 Jan. 24 20 22 33 Feb. 24 20 31 39 Mar. 36 29 33 42 Apr. May 43 28 33 40 26 29 33 43 June 30 29 32 43 July Aug. Sept. 27 24 32 32 20 26 31 29 27 25 30 31 Oct. 23 26 31 37 Nov. 21 29 29 32 Dec. 23 25 30 29
The number (in thousands) of new houses sold each month in a country over a four year period is given in the accompanying table. Complete parts (a) and (b).
Click on the icon to view the table.
(a) Find the standard deviation of the data.
The standard deviation of the data is s = |
(Round to two decimal places as needed.)
thousand.
(b) In what percent of the months did new housing sales fall within one standard deviation of the mean? Within two standard deviations? Within three?
New housing sales fell within one standard deviation of the mean in % of the months.
(Round to the nearest tenth as needed.)
New housing sales fell within two standard deviations of the mean in% of the months.
(Round to the nearest tenth as needed.)
New housing sales fell within three standard deviations of the mean in % of the months.
(Round to the nearest tenth as needed.)
A rafe offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each. I1 20000 tickets are sold at 75 cents each, find the expected winnings for a person buying 1 ticket.
What are the expected winnings?
cents
(Round your answer to the nearest whole cent.)
Transcribed Image Text:The number (in thousands) of new houses sold each month in a country over a four year period is given in the accompanying table. Complete parts (a) and (b). Click on the icon to view the table. (a) Find the standard deviation of the data. The standard deviation of the data is s = | (Round to two decimal places as needed.) thousand. (b) In what percent of the months did new housing sales fall within one standard deviation of the mean? Within two standard deviations? Within three? New housing sales fell within one standard deviation of the mean in % of the months. (Round to the nearest tenth as needed.) New housing sales fell within two standard deviations of the mean in% of the months. (Round to the nearest tenth as needed.) New housing sales fell within three standard deviations of the mean in % of the months. (Round to the nearest tenth as needed.) A rafe offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each. I1 20000 tickets are sold at 75 cents each, find the expected winnings for a person buying 1 ticket. What are the expected winnings? cents (Round your answer to the nearest whole cent.)
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