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

The mean of the test scores is 69.6, the median is 71, and the mode is 63.

Step-by-step explanation:

Mean:

To find the mean, you need to add up all the numbers in the data set and divide by the total number of values. In this case, the sum of the test scores is 1392. Dividing by 20 (the total number of scores) gives you a mean of 69.6.

Median:

The median is the middle value in a data set when arranged in ascending order. In this case, the data set has an odd number of values, so the median is the exact middle value, which is 71.

Mode:

The mode is the value that appears most frequently in a data set. In this case, the mode is 63 because it appears twice, more than any other value. Therefore, the mean is 69.6, the median is 71, and the mode is 63.

Answer 2

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.