2. Five-number summary Aa Aa A five-number summary for the ages of 343 members o

Question

2. Five-number summary Aa Aa A five-number summary for the ages of 343 members of a popular social networking website who took part in a survey is shown in the table below Member Ages (in years) Median Quartiles18 Extremes 14 23 37 76 The value in the middle when the ages for these members are arranged in order is23 years The range of ages-that is, the difference between the highest and lowest values in the survey-is 62years The interval of ages that contains the middle 1/2 of the members is 14 to 23years The interval of ages that contains the youngest 1/4 of the members is years

Explanation / Answer

Here, Minimum = 14, First quartile = 18, Median = 23, Third Quartile = 37, Maximum = 76.

The value in the middle after ordering the observations is the median. Hence, the required value is 23 years. (Ans).

The difference between highest and lowest value is (76 - 14) = 62 years. (Ans).

The interval of the ages that contains middle 1/2 of the members is the interval between minimum and median value i.e. 14 to 23 years.(Ans).

The interval of the ages that contains the youngest 1/4 of the members is the interval between minimum and first quartile, i.e. 14 to 18 years. (Ans).

Related Questions

Navigate

• Browse (All)
• Browse 2
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.