The number of hours per week that the television is turned on is determined for
ID: 3272206 • Letter: T
Question
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
37
hours and the median is
33.2
hours. Twenty-four of the families in the sample turned on the television for
22
hours or less for the week. The
11th
percentile of the data is
22
hours.
Step 1 of 5:
Based on the given information, determine if the following statement is true or false.
The
53rd5
percentile is greater than or equal to
32
hours.
How many families are in the sample?
What is the value of the 50th percentile?
Explanation / Answer
step 1) as median lies at 50th percentile and is equal to 33.2.
therefore 53rd percentile should be greater then 33.2.
2)
here as 11 th percentile =(n+1)*p th value =24
(n+1)*0.11 =24
n=217
hence total number of families =217
value of the 50th percentile =median value =33.20