• Question 8 < > We are going to calculate the mean, median,...

• Question 8 < > We are going to calculate the mean, median, and mode for two sets of data. Please show your answer to one decimal place if necessary. Here is the first data set. 98 72 75 51 81 87 92 96 92 23 40 a. what is the mean ($\bar{x}$) of this data set? b. What is the median of this data set? c. What is the mode of this data set? Here is the second data set. 79 61 29 91 47 46 47 65 48 97 d. What is the mean ($\bar{x}$) of this data set? e. What is the median of this data set? f. What is the mode of this data set? 0/1 pt 3

Transcript

00:01 Hi here for the given question.

00:03 We are given that there is a first data set when the data elements are 22 comma 46 comma 97 comma 70 comma 49 comma 54 comma 54 comma 89 comma 43 comma 88 comma 44.

00:24 So these are the elements now here we need to calculate the mean so mean is equal to sum of all xi divided by total element.

00:31 So here n is equal to 11 and adding all this element.

00:35 We have sum of xi is equal to 666.

00:38 So here the value of mean which is equal to x bar is 666 divided by 11, which is equal to 60 .5.

00:47 Now here we can say that for the first question, we have value of mean is equal to 60 .5.

00:53 Now here we need to calculate what is the value of median.

00:57 So here in order to calculate the median we need to arrange them in ascending order.

01:03 So here for median we will arrange all the terms.

01:05 So we have 22 comma 43 comma 44 comma 46 comma 49 comma 54 comma 54 comma 70 comma 88 comma 89 comma 97.

01:18 So here after arranging all the terms together here we will consider this is an odd number 11 is an odd.

01:27 So the one value will be the median.

01:28 So middle term will be the median.

01:29 So here this is the median.

01:32 So here we can say that the value of the median will be the most middle value which is 54.

01:38 So this is 54 and we know that mode is the most repeating number here 54 is repeated twice.

01:45 So the value of mode is equal to 54.

01:48 Now here further we need to consider the another data set.

01:51 So here the second data set is equal to we have 35 comma 46 comma 49 comma 54 comma 64 comma 72 comma 75 comma 78 comma 78 comma 98.

02:13 So here this is the value now further here in this question...

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