Nielsen Media Research provided the list of the 25 top-rated single shows in television history (The World Almanac, 2012). The following data show the television network that produced each of these 25 top-rated shows.

CBS CBS NBC FOX CBS CBS NBC NBC NBC ABC ABC NBC ABC ABC NBC CBS NBC CBS ABC NBC NBC CBS CBS ABC CBS

a. Construct a frequency distribution, a relative frequency distribution, and a percent frequency distribution for the data.

b. Which network or networks have done the best in terms of presenting top-rated television shows? Compare the performance of ABC, CBS, and NBC.

Question

Bryce Pitts

Mathematics

11 October, 21:18

Nielsen Media Research provided the list of the 25 top-rated single shows in television history (The World Almanac, 2012). The following data show the television network that produced each of these 25 top-rated shows.

CBS CBS NBC FOX CBS CBS NBC NBC NBC ABC ABC NBC ABC ABC NBC CBS NBC CBS ABC NBC NBC CBS CBS ABC CBS

a. Construct a frequency distribution, a relative frequency distribution, and a percent frequency distribution for the data.

b. Which network or networks have done the best in terms of presenting top-rated television shows? Compare the performance of ABC, CBS, and NBC.

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Answers (1)

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Ciara · Answer 1

a.

Network CBS NBC FOX ABC

f 9 9 1 6

Relative f 0.36 0.36 0.04 0.24

Percent f 36 36 4 24

b.

CBS and NBC have done best in presenting top-rated television shows.

The most top rated shows are from CBS and NBC while ABC network also has top rated shows but CBS and NBC percentages are higher.

Step-by-step explanation:

a.

Network f Relative f Percent f

CBS 9 0.36 36

NBC 9 0.36 36

FOX 1 0.04 4

ABC 6 0.24 24

"f" represents the frequency of network.

"Relative f" represents relative frequency of Network.

"Percent f" represents percent frequency of Network.

Frequency is computed by counting the number of times value repeated in the data. So, the frequency distribution is

Network Frequency

CBS 9

NBC 9

FOX 1

ABC 6

Relative frequency is computed by dividing the frequency to the sum of frequencies.

sum of frequencies=9+9+1+6=25.

So, the relative frequency distribution is

Network Relative frequency

CBS 9/25=0.36

NBC 9/25=0.36

FOX 1/25=0.04

ABC 6/25=0.24

Percent frequency is computed by multiplying relative frequencies to 100.

So, the Percent frequency distribution is

Network Percent frequency

CBS 0.36*100=36

NBC 0.36*100=36

FOX 0.04*100=4

ABC 0.24*100=24

b.

From frequencies, relative frequencies and percent frequencies we can see the CBS and NBC have equally higher cont of top rated shows comparative to ABC and FOX. ABC has second highest top rated shows while Fox has least top rated shows among other networks.