1. Here is a list of fifty wind speed measurements (in...

1. Here is a list of fifty wind speed measurements (in kilometres per hour) recorded Hourly on a relatively calm weekend. 6 8 10 12 4 4 5 7 7 8 10 5 6 5 6 8 8 8 11 9 7 8 4 4 4 8 10 8 3 4 5 11 9 6 8 10 11 10 5 7 7 8 7 6 6 9 9 7 9 10 a) Calculate the Mean, Median, Mode, Variance and Standard Deviation. b) Draw a Box and Whisker Plot 2. A variety store manager notices that sales of soft drinks are higher on hotter days, so he assembles data in a table. Number of Cans Sold 340 335 410 460 450 610 735 780 High Temperature 55 58 64 68 70 75 80 84 in Degrees Fahrenheit a) Determine the correlation coefficient, line of best fit, and classify the type of correlation that exists. b) Use the model to predict the soft drink sales if the temperature is 95 degrees Fahrenheit? c) Use the model to predict the temperature if the number of cans sold is 200?

Transcript

00:01 Hello students for the given problem we have to find the mean wind speed.

00:05 For that we need to calculate the weighted average of the wind speed using the frequency as the table.

00:11 So for that we will use the formula of mean is equal to summation of f multiply by w upon summation of f where f is the frequency and w is the mean value of each class interval.

00:25 We are provided with the mean value of each class interval and its associated frequency.

00:30 So by using the above formula the mean comes out to be 50.

00:34 Next we have to draw the histogram for that we need to plot the class interval on x -axis and frequency on the y -axis.

00:45 So we will draw it after plotting every value of class and associated frequency our histogram look like this.

00:55 Next we have to create the cumulative frequency distribution table for that we need to add up the frequency starting from the first class interval to the last.

01:06 Therefore we are provided with class interval its corresponding frequency based on that we will calculate the cumulative frequency and cumulative relative frequency.

01:21 So for first class it is 30 less than w less than 40 associated frequency is 15 and cumulative relative frequency is 15 and cumulative relative frequency is 15 upon 50 that is total frequency which comes out to be 0 .3.

01:40 In the similar manner we will calculate it for all class interval and its associated frequency.

01:46 Now after calculating everything we get the relative frequency and cumulative frequency based on that we have to draw the cumulative frequency curve for that we will again take the class interval on the x -axis which consists of 30, 40, 50, 70, 80 and ultimately we can consider it to be 100 and on the y -axis instead of frequency we will consider the cumulative frequency and after drawing the plot of cumulative we get it to be like this...

Question

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