Construct a box-and-whisker plot with groups Education: 0 =...

Construct a box-and-whisker plot with groups Education: 0 = Non-medical 1 = Medical 2 = Undergraduate student Let's look at the Otis scores by the education group. Go to Graph -> Boxplot. Under the One Y option choose With Categorical Variables and Groups. Place Otis in the Y Variables box and Education in the Categorical variables(1-4) for the grouping box and click OK. Comment on the relationship between the Otis scores and the education of the participants.

Transcript

00:01 Hello students here we have given the test scores of 40 students that means n is equal to 40 is given and by using this data we have to construct a box plot so first step is to arrange the data arrange the given data in the ascending order ascending order and now to construct the box plot we have to find the 5 number summary so to find 5 number summary that means we have to find the minimum maximum first cartel medium median and the last cartel that is q3 so that means first we will find the minimum and minimum from the data that is the lowest number or lowest value is 25 then next we have to find the q1 or it is also called as the first cartile first cartile so for that we will first choose the lower half of the 40 values that is 20 lower half of 40 values that is 20 lower half of 40 values that is 20 so median so median of 20 values median of 20 values will give us the 25th percentile this is the 25th percentile and median is equal to 20 plus 1 divide by 2 so this is equal to 10 .5th observation and as there is no such a 10 .5th observation.

02:32 So here we will consider the 10th value that is 57, 10th value that is 57 and 11th value, 11th value that is 59.

02:50 So, so q1 is, we can write q1 as 57 plus 59 divide by 2.

03:00 So this is equal to 58.

03:03 So we get q1 as 58.

03:09 Then next we have to find the median.

03:13 For median, as we have n, that is the even number.

03:18 So formula for median is given by, so when the n is even, the formula for median is median is equal to n plus 1 by truth observation so that means this is equal to 40 plus 1 by truth that is 20 .5th value so that means this is equal to 20th value plus 21st value and divide by 2 so which is equal to so 20th observation and the 21st observation that means 72 plus 72 divide by 2 and this is equal to 72 so median is 72 then next we have to find the q3 that is the third quartile or 75th percentile and for this so this is third cartile for this we will be choosing the upper 20 values, upper 20 values...

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