A data set is shown.
10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17,35
Move the options to the blanks to describe the effect removing the outlier, 35, will have on the data set.
The mean of the data set will
The median of the data set will
The range
the data set will
increase
decrease
not change

Respuesta :

Answer:

Simple

Step-by-step explanation:

The mean of the data set will decrease.

The median will not change.

The range will increase.

From the calculation below, we arrive at the following conclusion

The mean of the data set will decrease

The median of the data set will not change

The range  the data set will decrease

Given the data 10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17,35

Mean is the sum of the data divided by the sample size;

Sum = 10+10+11+12+13+13+13+ 14+14+15+15+15+16+17+17+17+35

Sum = 257

Sample size = 17

Mean = 257/17

Mean = 15.12

Median is the value in the middle after rearragement

Median = 10, 10, 11, 12, 13, 13, 13, 14) 14(15, 15, 15, 16, 17, 17, 17,35

Median value is 14

Range is the difference between the highest and the lowest value of the data.

Range  = 35 - 10 = 25

If the outlier is removed, the given the data will be 10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17

Mean is the sum of the data divided by the sample size;

Sum = 10+10+11+12+13+13+13+ 14+14+15+15+15+16+17+17+17

Sum = 222

Sample size = 16

Mean = 222/16

Mean = 13.875

Median is the value in the middle after rearragement

Median = 10, 10, 11, 12, 13, 13, 13)14 14(15, 15, 15, 16, 17, 17, 17

Median value is 14

Range is the difference between the highest and the lowest value of the data.

Range  = 17 - 10 = 7

From the calculation above, we arrive at the following conclusion

The mean of the data set will decrease

The median of the data set will not change

The range  the data set will decrease

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