The table displays the mean name length for seven samples of students. sample mean name length 1 5.4 2 7.1 3 6.3 4 5.2 5 6.0 6 4.9 7 6.2 what can be said about the variation between the sample means? the variation between the sample means is small. the variation between the sample means is large. the variation shows that the values are far apart. the variation cannot be used to make predictions.

The variation between the sample means is small.

Step-by-step explanation:

The table displays the mean name length for seven samples of students.

The table is given as:

Sample Mean Name Length

1                        5.4

2                       7.1

3                       6.3

4                       5.2

5                       6.0

6                       4.9

7                        6.2

We know that the Mean of the sample is the average of the sample and is calculated as the ratio of the sum of all the samples to the total number of sample points.

Hence,

Hence, to the nearest tenth we may say:

Mean=5.9.

Now we calculate the absolute deviation as:

|5.4-5.9|=0.5

|7.1-5.9|=1.2

|6.3-5.9|=0.4

|5.2-5.9|=0.7

|6-5.9|=0.1

|4.9-5.9|=1

|6.2-5.9|=0.3

Hence, the square of the above absolute deviations are:

0.25

1.44

0.16

0.49

0.01

1

0.09

Now, the mean of these square terms which is also known as variance is calculated as:

Hence,

Variance=0.49

Hence, the variation between the sample mean is small.

step-by-step explanation:

the true ones are a b and d