The following data give the numbers of television sets owned by 40 randomly sele

Question

The following data give the numbers of television sets owned by 40 randomly selected households.

Q4-1: Prepare a complete frequency distribution table for these data using single-valued classes. Include the frequency, relative frequency (as a percentage), cumulative frequency, and cumulative frequency as a percentage in the table. [1 point]

Q4-2: Calculate the mean number of television sets per household. [0.5 points] Q4-3: Calculate the median number of television sets per household. [0.5 points]

Q4-4: Calculate the standard deviation for the number of television sets per household. [1 point]

Q4-5: What percentage of the households own two or more television sets? [0.5 point]

The following data give the numbers of television sets owned by 40 randomly selected households. 1 123241321 1 Q4-1: Prepare a complete frequency distribution table for these data using single-valued classes. Include the frequency, relative frequency (as a percentage), cumulative frequency, and cumulative frequency as a percentage in the table. [1 point] 1%) cf(%)

Explanation / Answer

Let X: The number of Television sets owned by an household

Q4-1: We prepared a complete frequency distribution table for these data with single-valued classes using Ms-excel (as below).

Q4-2: We calculate the mean number of Television sets owned by an household using the excel command-

=AVERAGE(x)

where, x is the data range of x to be selected in Ms excel

Q4-3: We calculate the Median number of Television sets owned by an household using the excel command-

=MEDIAN(x)  

where, x is the data range of x to be selected in Ms excel

And, the mean number of Television sets owned by an household = 2 (Answer)

Q4-4: We find the Standard Deviation for the number of Television sets owned by an household using the excel command-

=STDEV(x)  

where, x is the data range of x to be selected in Ms-excel

And, the Standard Deviation for the number of Television sets owned by an household = 0.99 (Answer)

Q4-5: We want to find the percentage of the households owning 2 or more television sets. We can find this by using the relative frequency table in Q4_1.

To get the desired thlis percentage, we will add the rf(%) for values 2,3 & 4

= 35.0% + 20.0 % +7.5%

=62.5% (Answer)

X f rf(%) cf cf(%) 0 1 2.5% 1 2.5% 1 14 35.0% 15 37.5% 2 14 35.0% 29 72.5% 3 8 20.0% 37 92.5% 4 3 7.5% 40 100.0% Total 40 100.0%

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