Indicate in the following examples whether the random variable X is discrete of
ID: 3200358 • Letter: I
Question
Indicate in the following examples whether the random variable X is discrete of continuous. X is the number of days last week that a randomly chosen child exercised for at least one hour.__ X is the amount of time in hours that a randomly chosen child spends watching television today.__ For the following Histogram, calculate the following: 1st Quartile class: __ 2nd Quartile Class:__ 3^rd Quartile class:__ x axis variable:____ y axis Variable:__ Shape:_____ Approximate total number of frequencies (plants):_____ Spread of the Data:__Explanation / Answer
3
a) X is dicrete it is counting of no of days so it has discrete values like (0,1,2....etc)
b)amount of time in hours can be fraction so it is continous .so X is continous in this case
4)
Frequencies are 2,12,13,5,7,4,1,1,3,1
sum of frequencies are = 2+12+13+5+7+4+1+1+3+1 = 49
cumilative frequencies are 2,14,27,32,39,43,44,45,48,49
1/4(49+1) = 12.5, 12.5 is between 10 and 20
so Q1 = 10+ (12.5-2)*10/12 = 18.75
(1/2)(49+1) = 25, 25 is between 20 and 30
so Q2 = 20+ (25-14)*10/13 = 28.4
3/4(49+1) = 37.5, 37.5 is between 40 and 50
so Q3 = 40+ (37.5-32)*10/7 = 47.8
shape is skewed bell shape
spread of data is not uniform and it is skewed