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8. The number of hours per week that the television is turned on is determined f

ID: 3306019 • Letter: 8

Question

8. The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 38 hours and the median is 34.2 hours. Twenty-four of the families in the sample turned on the television for less t 23 hours for the week. The 14th percentile of the data is 23 hours Step 1. The 53rd percentile is less than 33 hours. Step 2. Approximately how many families are in the sample? Round your answer to the nearest integer. A) True Step 3. Approximately 86 families turned on their televisions for less than 38 hours. B) False Step 4. What is the value of the 50h percentile? A) True B) False Step 5. The first quartile is greater than or equal to 23 hours.

Explanation / Answer

Step 1st : False, the 50th percentile is 34.2, that means 53rd percentile must be greater than34.2

Step 2: we have given 14th percentile have 24 families

14 percentile = 14N/100

and we know 14N/100 = 24, therefore N= 172 approximately

Answer 172 families

step 3 False, the average number of families turned ion their tvs are 38 hours

Step 4: the value of 50th percentile = median = 34.2

Step 5 : True , since 14th percentile is 23 hrs, first quartle means it must be greater than 23

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