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the histogram below shows how many pages Alba reads each day a month select all of the statements that are trueA- there are 5 observations B- there are 31 observation C- the unit of measurement for each observation is daysD- the unit of measurement for each observation is pages E- there are outliers in the data this means if Alba wants to calculate a measure of center from her observations she should use the medianF- the data are all clustered together this means if Alba wants to calculate a measure of center from her observations she should use the mean

the histogram below shows how many pages Alba reads each day a month select all of-example-1
User Dbenarfa
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We are given the histogram.

Recall that a histogram is a graph that summarizes in some way, the amount of data we have according to its values. Recall that we are told that the histogram shows how many pages Alba reads each day of a month. So, for example, if at day one she reads 50 pages, then we have the data point

day 1 -----> 50 pages

if at day 2 she reads 2 pages, then we have the data point

day 2 ----> 2 pages

So our data looks something like this

day number of pages

1 5

2 2

3 150

.... ...

so, each day is an observation. As we are measuring the number of pages, each observation has the unit of measurement to be pages (so statement D is true and statement C is false).

To determine how many observations we had, we simply add the heights of each showned column.

We have the following heights

column 1: 9

column 2: 13

column 3: 7

column 4: 1

column 5: 1

Total of observations: 9+13+7+1+1=31 observations

(this means that statement A is false and statement B is true).

From the data, we can see that the heigher the column, the more observations we have in that data range. As the graph shows, most of the data is accumulated in the first three columns. However, we do have some observations that are far apart from the rest of the data (columns 4 and 5). This datapoints receive the name of outliers. So if Alba wants to calculate a measure of center, she should use the median as it is less affected by the presence of outliers. (This makes statement E true and statement F false).

User Sayali Sonawane
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