Question

find the mean, median, and mode of the data set. round to the nearest tenth. test scores on a math exam: 88,89,65,62,83,63,74,64,71,82,66,88,79,60,86,63,93,99,60,85

Answer 1

Solution:

1. Mean: 76

2. Median: 76.5

3. Modes: 60, 63, and 88

Solution:

We have 20 values (n=20)

1. Mean

Mean=(88+89+65+62+83+63+74+64+71+82+66+88+79+60+86+63+93+99+ 60+85)/20

Mean=1,520/20

Mean=76

2. Median

First we must order the values from the smallest to the largest:

60, 60, 62, 63, 63, 64, 65, 66, 71, 74, 79, 82, 83, 85, 86, 88, 88, 89, 93, 99

 1     2    3    4    5    6     7    8   9   10   11   12   13   14   15   15   17   18  19  20

The number of values is an even number, then the median is the average of the two central values, in this case the values 10th and 11th:

Median=(74+79)/2

Median=153/2

Median=76.5

3. Mode

The values most repeated are:

60 is twice

63 is twice

88 is twice

Then in this case we have three mode: 60, 63, and 88.