Question

Find the mean, meadian, mode, and mid range. Theb decide which you think is the most meaningful measure of average for that data set.

12) The number of hospitals in the five largest hospital systems is shown here.

340. 75. 123. 259. 151.

16. These are the numbers of stories in the 11 tallest building in St. Paul Minnesota

37. 46. 32. 32. 33. 25. 17. 27. 21. 25. 33.

Answer 1

12) Given that sampes : 340 75 123 259 151

mean = sum of terms/Number of terms
= (340+75+123+259+151)/5
= 948/5
= 189.6

median = 151
Explanation

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

75 123 151 259 340   

So, the median is 151

Mode = no mode

Explanation

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

Ordering the data from least to greatest, we get:

75 123 151 259 340   

Since each value occurs only once, there is no mode for this data set.

Midrange: 207.5
The minimum value of a data set (Min. Value): 75
The maximum value of a data set (Max. Value): 340
Midrange = (Min. Value + Max. Value) / 2
= (75 + 340) / 2
= 207.5

16. Given that samples : 37 46 32 32 33 25 17 27 21 25 33

Mean = sum of terms/number of terms
= (37+46+32+32+33+25+17+27+21+25+33)/11
= 328/11
= 29.8182

Median = 32
Explanation

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

17 21 25 25 27 32 32 33 33 37 46   

So, the median is 32 .

Mode = 25,32,33

Midrange: 31.5
The minimum value of a data set (Min. Value): 17
The maximum value of a data set (Max. Value): 46
Midrange = (Min. Value + Max. Value) / 2 = (17 + 46) / 2 = 31.5