Practice with
Central Tendency and Dispersion
Topic Index | Algebra2/Trig Index | Regents Exam Prep Center


Choose the best answer to the following questions.
Grab your calculator.

1.

The table displays the frequency of scores on a twenty point quiz.  The mean of the quiz scores is 18. 
Find the value of k in the table.

Score 15 16 17 18 19 20
Frequency 2 4 7 13 k 5

Choose:

8
 11
12


 

2.

The table displays the frequency of scores on a 10 point quiz.  Find the median of the scores.

Score 5 6 7 8 9 10
Frequency 1 5 8 14 12 7

Choose:

7
8
9


 

3.

The table displays the number of uncles of each student in a class of Algebra 2.  Find the mean, median and mode of the uncles per student for this data set.
Express answers to the nearest hundredth.

Score 0 1 2 3 4 5
Frequency 2 5 4 6 10 8
 

Choose:
answers are stated in the order
mean, median, mode

3.17, 4, 4
 3.17, 3, 4
3.18, 4, 4

 


 
4.

The average earning of 110 juniors for a week was $35, while during the same week 90 seniors averaged $50.  What were the average earnings for that week for the combined group?

Choose:

$41.75
 $43.50
$47.55  

 

 

5.

For the data set: 
{5, 4, 2, 5, 9, 3, 4, 5, 3, 1, 6, 7, 5, 8, 3, 7}
find the interquartile range.

Choose:

3
 3.5
6.5

 

 

6.

Find, to the nearest tenth, the standard deviation of the distribution:

Score 1 2 3 4 5
Frequency 14 15 14 17 10

Choose:

1.3
 1.4
2.9

 

 

7.

If all of the data in a set were multiplied by 8, the variance of the new data set would be changed by a factor of ____.

Choose:

4
 8
16
 64


 

8.

If the five numbers {3, 4, 7, x, y} have a mean of 5 and a standard deviation of , find x and y given that y > x.

Choose:

x = 0, y = 1
x = 0, y = 4
x = 0, y = 6
 x = 5, y = 6