Acceso
Prima
Hogar Banco de preguntas Matemáticas Estadísticas
Pregunta
upstudy study bank question image url

2. จงหาควอร์ไทล์ที่ 1 ( \( \left.\mathrm{Q}_{1}\right) \) ควอร์ไทล์ที่ \( 2\left(\mathrm{Q}_{2}\right) \) ควอร์ไทล์ที่ \( 3\left(\mathrm{Q}_{3}\right) \) จากข้อมูล \( 1 \begin{array}{lllllll}10 & 12 & 13 & 15 & 18 & 20 & 22\end{array} 25 \quad 26 \)

Ask by Ortiz Pena. in Thailand
Feb 25,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

ควอร์ไทล์ที่ 1 (Q₁) = 12 ควอร์ไทล์ที่ 2 (Q₂) = 16.5 ควอร์ไทล์ที่ 3 (Q₃) = 22

Solución

เรามีชุดข้อมูลที่เรียงลําดับแล้วดังนี้ 1, 10, 12, 13, 15, 18, 20, 22, 25, 26 เนื่องจากจำนวนข้อมูลมีทั้งหมด 10 ค่า (เลขคู่) • ค่ากลาง (ควอร์ไทล์ที่ 2 หรือ Q₂) คือค่าเฉลี่ยของตำแหน่งที่ 5 และ 6   Q₂ = (15 + 18) / 2 = 16.5 สำหรับการหาควอร์ไทล์ที่ 1 (Q₁) และควอร์ไทล์ที่ 3 (Q₃) ให้แบ่งชุดข้อมูลออกเป็นสองส่วนเท่า ๆ กัน โดยไม่รวม Q₂ เนื่องจากจำนวนข้อมูลเป็นเลขคู่ การแบ่งคือ   ส่วนล่าง: 1, 10, 12, 13, 15   ส่วนบน: 18, 20, 22, 25, 26 • ค่ากลางของส่วนล่างคือ Q₁   มี 5 ค่า ค่ากลางคือค่าที่ 3   Q₁ = 12 • ค่ากลางของส่วนบนคือ Q₃   มี 5 ค่า ค่ากลางคือค่าที่ 3   Q₃ = 22 สรุปคำตอบ   Q₁ = 12   Q₂ = 16.5   Q₃ = 22

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

Beyond the Answer

เพื่อหาควอร์ไทล์ที่ 1 (\(Q_1\)), ควอร์ไทล์ที่ 2 (\(Q_2\)), และควอร์ไทล์ที่ 3 (\(Q_3\)) จากข้อมูล \(10, 12, 13, 15, 18, 20, 22, 25, 26\) เราสามารถทำได้ดังนี้: 1. **จัดเรียงข้อมูล**: ข้อมูลถูกจัดเรียงแล้ว 2. **หาค่าตำแหน่ง**: - \(Q_1\) จะอยู่ที่ตำแหน่ง \( \frac{1}{4}(n + 1)\) = \( \frac{1}{4}(9 + 1) = 2.5\) -> \(Q_1\) คือค่าเฉลี่ยระหว่างที่ 2 (12) และที่ 3 (13) จะได้ \(Q_1 = \frac{12 + 13}{2} = 12.5\) - \(Q_2\) จะอยู่ที่ตำแหน่ง \( \frac{1}{2}(n + 1) = \frac{1}{2}(9 + 1) = 5\) -> \(Q_2 = 18\) (ค่ากลาง) - \(Q_3\) จะอยู่ที่ตำแหน่ง \( \frac{3}{4}(n + 1) = \frac{3}{4}(9 + 1) = 7.5\) -> \(Q_3\) คือค่าเฉลี่ยระหว่างที่ 7 (22) และที่ 8 (25) จะได้ \(Q_3 = \frac{22 + 25}{2} = 23.5\) ดังนั้นควอร์ไทล์ทั้งหมดมีค่าเป็นดังนี้: - \(Q_1 = 12.5\) - \(Q_2 = 18\) - \(Q_3 = 23.5\)

preguntas relacionadas

Quiz Active TIME REMAINING Zachary completes a hypothesis test and finds that he rejects the null hypothesis. Which statement gives a reason for rejecting the null hypothesis? The \( z \)-statistic is less than 0 . The \( z \)-statistic lies in the critical region. The \( z \)-statistic lies outside the critical region. The \( z \)-statistic is greater than 0 .
Estadísticas United States Feb 25, 2025
1 TIMEREMAINING \( 49: 59 \) A researcher collated data on Americans' leisure time activities. She found the mean nümber of hours spent watching television each weekday to be 2.7 hours with a standard deviation of 0.2 hours. Jonathan believes that his football team buddies watch less television than the average American. He gathered data from 40 football teammates and found the mean to be 2.3. Which of the following are the correct null and alternate hypotheses? \( \mathrm{H}_{0}: \mu=2.7 ; \mathrm{H}_{\mathrm{a}}: \mu<2.7 \) \( \mathrm{H}_{0}: \mu \neq 2.7 ; \mathrm{H}_{\mathrm{a}}: \mu=2.3 \) \( \mathrm{H}_{0}: \mu=2.7 ; \mathrm{H}_{\mathrm{a}}: \mu \neq 2.7 \) \( \mathrm{H}_{0}: \mu<2.7 ; \mathrm{H}_{\mathrm{a}}: \mu \geq 2.3 \)
Estadísticas United States Feb 25, 2025
12 A recent survey of 8,000 high school students found that the mean price of a prom dress was \( \$ 195.00 \) with a standard deviation of \( \$ 12.00 \). Alyssa thinks that her school is more fashion conscious and spent more than \( \$ 195.00 \). She collected data from 20 people in her high school and found that the average price spent on a prom dress was \( \$ 208.00 \). Which of the following is the correct \( z \)-statistic for this situation? 0.24 4.84 7.51 96.90
Estadísticas United States Feb 25, 2025
1 2 4 TMEREMANING David wants to complete a hypothesis test with the least amount of probability for error. If he sets the significance level to \( 1 \% \), assuming his sample is truly random, what else could he adjust in the test in order to reduce error? He could change the population mean. He could increase the sample size. He could change the population standard deviation. He could decrease the sample size.
Estadísticas United States Feb 25, 2025
The College Board states that the average math SAT score is 514 with a standard deviation of 117 . Colleen gathered data from 50 students in her graduating class and found the average score to be 523 . She thinks that her class's math SAT score is different from the average. Which of the following are the correct null hypothesis and alternate hypothesis? \( \mathrm{H}_{0}: \mu=514 ; \mathrm{H}_{\mathrm{a}}: \mu>514 \) \( \mathrm{H}_{0}: \mu=514 ; \mathrm{H}_{\mathrm{a}}: \mu=523 \) \( \mathrm{H}_{0}: \mu=514 ; \mathrm{H}_{\mathrm{a}}: \mu=514 \) \( \mathrm{H}_{0}: \mu=514 ; \mathrm{H}_{\mathrm{a}}: \mu=523 \)
Estadísticas United States Feb 25, 2025

Latest Statistics Questions

1 2 3 4 5 6 7 8 9 TIME REMAINING 41:29 Dion is performing a hypothesis test in which the population mean is 92 and the standard deviation is 2 . His sample size is 7 with a mean of 93.5 . Which of the following correctly depicts the \( z \)-statistic for this data? 0.28 0.36 1.98 2.63
Estadísticas United States Feb 25, 2025
1 2 4 TMEREMANING David wants to complete a hypothesis test with the least amount of probability for error. If he sets the significance level to \( 1 \% \), assuming his sample is truly random, what else could he adjust in the test in order to reduce error? He could change the population mean. He could increase the sample size. He could change the population standard deviation. He could decrease the sample size.
Estadísticas United States Feb 25, 2025
A study investigated the job satisfaction of teachers allowed to choose supplementary cैurriculum for their classes versus teachers who were assigned all curricular resources for use in their classes. On average, when surveyed regarding job satisfaction, teachers give a score of 3.3 out of 5 with a standard deviation of 0.6 . When the authors of the study interviewed 40 teachers who supplemented with their own materials, they found 3.5 to be the mean. The authors wanted to know if the group of teachers that could choose supplementary curriculum had a higher level of job satisfaction. They used a significance level of \( 1 \% \). Which of the following statements is valid based on the results of the test? The data shows that teachers allowed to choose supplementary curriculum for classes are more satisfied with their jobs. The data shows that teachers who were assigned all curricular resources for classes are more satisfied with their jobs. The data shows that there is no difference in job satisfaction between the two groups of teachers. The data shows that the authors cannot make a determination either way with this data.
Estadísticas United States Feb 25, 2025
1 TIMEREMAINING \( 46: 43 \) Julian is a manager at a clothing store for teens. He is analyzing the order for next seas̈on. Data for the previous 10 years suggests that teens are willing to spend an average of \( \$ 75 \) for a pair of designer jeans with a standard deviation of \( \$ 5 \). However, Julian thinks the average may have changed due to a recession. He finds that the last three seasons of data show that teens spent an average of \( \$ 68 \) on a pair of jeans. Therefore, he performed a hypothesis test to see if the recent average is the same. Julian used a significance level of \( 5 \% \) to perform the test. Which of the following statements is valid based on the results? Julian's data shows that the recent seasons' average jean price is not \( \$ 75 \). Julian's data shows that he should order fewer jeans than before. Julian's data shows that the recent seasons' average jean price is still \( \$ 75 \). Julian's data is inconclusive, so he should order the same number of jeans.
Estadísticas United States Feb 25, 2025
1 TIMEREMAINING \( 49: 59 \) A researcher collated data on Americans' leisure time activities. She found the mean nümber of hours spent watching television each weekday to be 2.7 hours with a standard deviation of 0.2 hours. Jonathan believes that his football team buddies watch less television than the average American. He gathered data from 40 football teammates and found the mean to be 2.3. Which of the following are the correct null and alternate hypotheses? \( \mathrm{H}_{0}: \mu=2.7 ; \mathrm{H}_{\mathrm{a}}: \mu<2.7 \) \( \mathrm{H}_{0}: \mu \neq 2.7 ; \mathrm{H}_{\mathrm{a}}: \mu=2.3 \) \( \mathrm{H}_{0}: \mu=2.7 ; \mathrm{H}_{\mathrm{a}}: \mu \neq 2.7 \) \( \mathrm{H}_{0}: \mu<2.7 ; \mathrm{H}_{\mathrm{a}}: \mu \geq 2.3 \)
Estadísticas United States Feb 25, 2025
Anterior Próximo
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad