Question

A chemist performed an experiment 10 times. The graph below shows the results. Chemistry Experiment Results 50 100 150 200 250 300 350 400 450 Number of Grams Select one correct answer from each box to complete the sentence. The [ mean ® median range interquartile range ] is the best representation for the center of the data because there [ is an outlier are no outliers ] in the data.

Answer 1

The given data are:

50 100 150 200 250 300 350 400 450

Arranging the data from the least to the greatest

50 100 150 200 250 300 350 400 450

The mean = (the sum of the data)/(the number of the data )

The sum of the data =

`50+100+150+200+250+300+350+400+450=2250`

The number of the data = 9

So, the mean = 2250/9 = 250

median = the midpoint of the data

The median will be the data number = (9+1)/2 = 5

So, the median = 250

To find the interquartile , divide the data to two equal sections

( 50 100 150 200 ) 250 ( 300 350 400 450 )

The median of the first section = (100+150)/2 = 125

The median of the second section = (350+400)/2 = 375

interquartile = 375 - 125 = 250

As shown, for the given data : mean = median = interquartile

So, the answer will be : mean , no outliers