Stats/Data

Two schools have asked you to compare their SAT scores and have given you their means and standard deviations for the last test. Which statement would be correct based on this information?

School 1 has a mean of 2000 and a standard deviation of 100.

School 2 has a mean of 2100 and a standard deviation of 500.

• The schools are about the same because a large difference between standard deviations means that the data sets are about the same.

• The schools are about the same since there is only 100 points different in their means.

• Overall, school 1 has a better score because of a lower variation in their scores.

• Overall, school 2 has a better score because of a higher variation in the scores.

Tags

CCSS.7.SP.B.4

Mr. M was comparing two random samples of students test scores from his Algebra III 1st and 3rd block classes: Test scores from 1st block: 92,84,85,77,60,92,68,88,76,89,94,56,72,45,66;Mean: ≈ 76.3Standard deviation:  14.3

Test scores from 3rd block: 72,77,84,79,66,74,88,72,73,64,82,85,74,74,97; Mean: ≈ 77.4Standard deviation: ≈ 8.34

What can Mr. M most accurately conclude between the overall class test scores of 1st and 3rd blocks?

• 3rd block students tend to have a slightly better grasp of the material since the mean is a little higher and the dispersion from the mean is less than 1st blocks.

• 1st blocks scores are more closely grouped around the average, therefore they had better scores than 3rd block.

• The students in both classes performed the same on the test.

• 1st blocks scores had a higher standard deviation, so as a class overall performed much better than 3rd blocks.

Tags

CCSS.7.SP.B.4

The box and whiskers plot represents the results of the same math test being given to two different classes. According to the box plot, which statement is true?

• The median of the fourth period class is greater than the median of the second period class.

• Both classes have a median of 100.

• Approximately one fourth of second period students scored an 85 or above.

• Both classes have a range of 45.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

The box and whiskers plot represents the results of the same math test being given to two different classes. According to the box plot, which statement is true?

• The median of the second period class is greater than the median of the fourth period class.

• Both classes have a median of 100.

• Approximately one fourth of second period students scored an 85 or above.

• Fourth period has a lower interquartile range than second

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Compare the two groups of data. Which statement is true?

• spread of data for Mrs. Plum's class is 9 points greater than Mr. Scarlet's class

• spread of data for Mrs. Plum's class is 6 points greater than Mr. Scarlet's class

• spread of data for Mrs. Plum's class is 7 points greater than Mr. Scarlet's class

• spread of data for Mrs. Plum's class is 14 points greater than Mr. Scarlet's class

Tags

CCSS.7.SP.B.4

Compare the two groups of data. Which statement is true?

• The Interquartile range for both is the same

• The Interquartile range for Mrs. Plum's class is larger

• The Interquartile range for Mrs. Plum's class is smaller

Tags

CCSS.7.SP.B.4

Compare the two groups of data. Which statement is true?

• 50% of Mrs. Scarlet class scores were above 78

• 50% of Mrs. Plum's class scores were above 78

• 25 % of Mrs. Plum's class scorres were above 94

Tags

CCSS.7.SP.B.4

Compare the two groups of data. Which statement is true?

• 25% of Mrs. Scarlet class scores were above 78

• 50% of Mrs. Plum's class scores were above 78

• 50% of Mrs. Plum's class scorres were above 94

Tags

CCSS.7.SP.B.4

In a right skewed distribution the mean tends to be greater than the median.

True or False

• true

• false

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

In a symmetric distribution, the mean and the median are approximately the same.

• True

• False

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2