Question

Here are ten numbers:

3 7 2 4 7 5 7 1 8 8
a) Write down the mode.
b) Work out the median.
c) Calculate the mean.
d) What is the range?

Answer 1

a) 7

b) 6

c) 5.2

d) 7

Explanation:

a) The mode is the number that appears the most in a data set. In this case, the mode would be 7, because it appears in the data set the most (3 times).

b) Median is the middle value in a data set. You should order the numbers from least to greatest and then find the middle.

1, 2, 3, 4, 5, 7, 7, 7, 8, 8

The middle value is between 5 and 7, so you would find the average of the 2 numbers. 5+7 = 12, 12/2 = 6.

In this case, the median is 6, because it was the middle value.

c) The mean is the average of the numbers. First, you add up all the numbers, then divide the sum by how many numbers you added. In this case, 3+7+2+4+7+5+7+1+8+8 = 52. There are 10 numbers, so you would divide 52 by 10. 52/10 = 5.2, so the mean is 5.2.

d) The range is the difference between the highest value and the lowest value. The highest value is 8 and the lowest value is 1. 8-1 = 7. The range would be 7.

Answer 2

Mode=7

Median=6

Mean=5.2

Range=7

Explanation:

First organize the numbers

1 2 3 4 5 7 7 7 8 8

The mode is the number that occurs the most times; 7.

The median is the middle number. There are two middle numbers, 5 and 7, so find the average between them. (5+7)/2=6.

The mean is the average of all the numbers. To calculate the average add all the numbers together and divide by the quantity of terms.

(1+2+3+4+5+7+7+7+8+8)/10 = 52/10 = 5.2

The range is the difference between the maximum number and the minimum number 8 and 1.

8-1=7