Figure 3.1.G shows a stem and leaf plot of the ratings (out of 100 ) of an actor's performance in different movies.Stem Leaf4 1 75 2 3 46 4 4 77 1 3 5 68 79 0Figure 3.1.G: Performance rating of an actor.Here 6 | 4 means Rating of 64What is the median rating, if 3 points are added to all of his ratings and then converted to 10 points. (Correct up to 2 decimal point accuracy.)
Question
Figure 3.1.G shows a stem and leaf plot of the ratings (out of 100 ) of an actor's performance in different movies.Stem Leaf4 1 75 2 3 46 4 4 77 1 3 5 68 79 0Figure 3.1.G: Performance rating of an actor.Here 6 | 4 means Rating of 64What is the median rating, if 3 points are added to all of his ratings and then converted to 10 points. (Correct up to 2 decimal point accuracy.)
Solution
First, let's understand the stem and leaf plot. The stem and leaf plot is a way to plot data where the data is split into stems (the largest digit(s)) and leaves (the smallest digit(s)).
In this case, the stem and leaf plot represents the ratings of an actor's performance in different movies. For example, 6 | 4 means a rating of 64.
The ratings are: 41, 47, 52, 53, 54, 64, 64, 67, 71, 73, 75, 76, 87, 90.
Step 1: Add 3 points to all of his ratings:
44, 50, 55, 56, 57, 67, 67, 70, 74, 76, 78, 79, 90, 93.
Step 2: Convert these ratings to a 10-point scale. To do this, we divide each rating by 10:
4.4, 5.0, 5.5, 5.6, 5.7, 6.7, 6.7, 7.0, 7.4, 7.6, 7.8, 7.9, 9.0, 9.3.
Step 3: Find the median rating. The median is the middle number in a sorted list of numbers. If the list has an odd number of observations, the median is the middle number. If the list has an even number of observations, the median is the average of the two middle numbers.
In this case, we have 14 numbers, so the median is the average of the 7th and 8th numbers.
The 7th number is 6.7 and the 8th number is 7.0.
So, the median rating is (6.7 + 7.0) / 2 = 6.85 (rounded to two decimal places).
Similar Questions
Figure 3.1.G shows a stem and leaf plot of the ratings (out of 100 ) of an actor's performance in different movies.Stem Leaf4 1 75 2 3 46 4 4 77 1 3 5 68 79 0Figure 3.1.G: Performance rating of an actor.Here 6 | 4 means Rating of 64
Figure 3.1.G shows a stem and leaf plot of the ratings (out of 100 ) of an actor's performance in different movies.Stem Leaf4 1 75 2 3 46 4 4 77 1 3 5 68 79 0Figure 3.1.G: Performance rating of an actor.Here 6 | 4 means Rating of 64What is the Inter Quartile Range (IQR)? (Correct to 1 decimal point accuracy.)
Randy is attending film school and one of his projects involves researching the ratingsgiven to movies by critics and viewers. He has selected a random sample of movies andhas recorded the average critic score (X1) and the average viewer score (X2) for eachmovie. The scores were obtained from a website that collates movie reviews and ratingssubmitted by critics and viewers. Randy also recorded the genre (X3) of each movie. Thedata are stored in the file AssignmentData.RData in the data frame movies.df.(a) [3 marks] Create a scatter plot of average critic score against average viewer scorefor comedies, with average viewer score along the x-axis. Make sure to give yourplot a proper descriptive title and appropriate labels for the x and y axes. Describethe relationship between these two variables for comedies
Directions: The given graph shows how a particular movie was rated by users of an online movie review site. Each user could vote only once. Go through the given graph and answer the questions based on it.
Mid-point of ranked values is called_________.Question 5Answera.Averageb.Medianc.Moded.Percentage
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