{"id":956,"date":"2022-07-18T07:02:21","date_gmt":"2022-07-18T07:02:21","guid":{"rendered":"https:\/\/www.greatassignmenthelp.com\/questions\/?p=956"},"modified":"2023-12-21T06:32:28","modified_gmt":"2023-12-21T06:32:28","slug":"compute-q3-d6-p70-for-the-following-data","status":"publish","type":"post","link":"https:\/\/www.greatassignmenthelp.com\/questions\/compute-q3-d6-p70-for-the-following-data\/","title":{"rendered":"Compute Q3, D6, P70 for the following data: 28, 17, 12, 25, 26, 19, 13, 27, 21, 16"},"content":{"rendered":"

Answer:-\u00a0<\/strong>Q3 = 26.25 \u00a0 \u00a0 \u00a0 \u00a0D6 = 23.4 \u00a0 \u00a0 \u00a0 \u00a0 P70 = 25.7<\/p>\n

Step-by-step explanation:<\/strong><\/p>\n

Firstly, arranging the data in ascending order, we get,<\/p>\n

12, 13, 16, 17, 19, 21, 25, 26, 27, 28<\/p>\n

Q3 characterize third quartile in the data.<\/p>\n

The formula for calculating Q3 = <\/em>observation where n is number of observations in the data.<\/em><\/p>\n

Q3 = obs. = 8.25th obs.<\/p>\n

8.25th obs = 8th obs + 0.25*(9th obs – 8th obs)<\/p>\n

= 26 + 0.25*(27 – 26) = 26.25<\/p>\n

Consequently, third quartile, Q3 = 26.25.<\/p>\n

D6 characterize sixth decile in the data.<\/p>\n

The formula for calculating D6 = <\/em>obs.<\/em><\/p>\n

= obs. = 6.6th obs.<\/p>\n

6.6th obs = 6th obs + 0.6*(7th obs – 6th obs)<\/p>\n

= 21 + 0.6*(25 – 21) = 23.4<\/p>\n

Therefore sixth decile, D6 = 23.4 .<\/p>\n

P70 represent 70th percentile in the data.<\/p>\n

\u00a0The formula for calculating P70 = <\/em>obs.<\/em><\/p>\n

P70 = obs = 7.7th obs.<\/p>\n

7.7th obs = 7th obs + 0.7*(8th obs – 7th obs)<\/p>\n

= 25 + 0.7*(26 – 25) = 25.7<\/p>\n

Therefore 70th percentile,P70 = 25.7 .<\/p>\n","protected":false},"excerpt":{"rendered":"

Answer:-\u00a0Q3 = 26.25 \u00a0 \u00a0 \u00a0 \u00a0D6 = 23.4 \u00a0 \u00a0 \u00a0 \u00a0 P70 = 25.7 Step-by-step explanation: Firstly, arranging the data in ascending order, […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[27],"tags":[],"yoast_head":"\nCompute Q3, D6, P70 for the following data: 28, 17, 12, 25, 26, 19, 13, 27, 21, 16<\/title>\n<meta name=\"description\" content=\"Compute Q3, D6, P70 for the following data: 28, 17, 12, 25, 26, 19, 13, 27, 21, 16\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.greatassignmenthelp.com\/questions\/compute-q3-d6-p70-for-the-following-data\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Compute Q3, D6, P70 for the following data: 28, 17, 12, 25, 26, 19, 13, 27, 21, 16\" \/>\n<meta property=\"og:description\" content=\"Compute Q3, D6, P70 for the following data: 28, 17, 12, 25, 26, 19, 13, 27, 21, 16\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.greatassignmenthelp.com\/questions\/compute-q3-d6-p70-for-the-following-data\/\" \/>\n<meta property=\"og:site_name\" content=\"Questions - 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