Given the data set H 2 3 6 7 7 9 9 10 10 17 Since 7 92 16

Given the data set H = {2, 3, 6, 7, 7, 9, 9, 10, 10, 17} Since 7 + 9/2 = 16/2 = 8, the median of H is 8. Since 10 is the \"middle\" value of {9, 9, 10, 10, 17}, the median of H is 10. Since the interquartile range of H is 4. the value 17 is a(n) outlier in H. Since 17-2 = 15, the range of H is 15. since 2 + 3 + 6 + 7 + 7 + 9 + 9 + 10 + 10 + 17/10 = 80/10 = 8, the mode of H is 8. Since |2 - 8| + |3 - 8| + ...+|17 - 8|/10 = 6 + 5 + 2 + 1 + 1 + 1 + 1 + 2 + 2 + 9/10 = 30/10 = 3, the Range of H is 3. Since 7, 9, and 10 occur twice, the mode of H are 7, 9, and 10.

Solution

1)

The median of a set of data is the middlemost number in the set. The median is also the number that is halfway into the set. To find the median, the data should first be arranged in order from least to greatest.If there is even number of terms then median is the average of middle two terms.

Here, 10 data values are present.The middle two values are 7 & 9.The average of these two values is known as median and it is 8.

So,8 is the median of H.

2)

It is also similar to first one.In the given set there are 5 values.middle value is 10.

So,it is median of H.

3)

Goven interquartile is 4.Here, the data 17 is faraway from the mean and interquartile.

Therefore, 17 is outlier in H.

4)

The range of a set of data is the difference between the highest and lowest values in the set.

In the given set highest value is 17 and lowest value is 2.

So,range=17-2=15.

Therefore,15 is the range of H.

5)

The mean (or average) of a set of data values is the sum of all of the data values divided by the number of data values.

Therefore,given 8 is mean of H.

6)

The Mean Absolute Deviation of a set of data is the average of differance between each data value and the mean.

So,the given 3 is Mean absolute deviation of H.

7)

The mode of a set of data is the value in the set that occurs most often.

In the given data set the three data values 7,9,10,are occured mostly(twice).

Therefore, 7,9,10 are mode of H.

The mode of a set of data is the value in the set that occurs most often. In the given data set the three data values 7,9,10,are occured mostly(twice). Therefore, 7,9,10 are mode of H.