ISEE Upper Level Math : Data Analysis and Probability
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Example Questions
Example Question #21 : Data Analysis And Probability
Refer to the above graph, which shows the high and low temperatures for Kingdom City over a one-week period. The temperatures at left are given in degrees Fahrenheit.
Temperatures given in degrees Fahrenheit can be converted to the Celsius scale using the formula
Express the highest temperature of the week in degrees Celsius (nearest whole degree).
As can be seen below, the highest temperature for the week was 78 degrees Fahrenheit, on Tuesday.
To convert this to degrees Celsius, set 
Example Question #13 : Tables
Refer to the above graph, which shows the high and low temperatures for Kingdom City over a one-week period.
The high temperature on Wednesday occurred at 1:00 PM; the low temperature, at the end of the day (midnight). The temperature drop was steady. What was the average drop in temperature per hour between 1:00 PM and midnight (nearest tenth of a second)?
1.7 degrees per hour
2.1 degrees per hour
1.3 degrees per hour
2.5 degrees per hour
1.3 degrees per hour
As can be seen in the diagram below, the high and low temperatures on Wednesday were, respectively, 74 and 60 degrees, for a drop of 
This drop occurred over a period of 
degrees per hour. The quotient of this is seen below:
This rounds to 1.3 seconds.
Example Question #21 : Data Analysis
A popular word game uses one hundred tiles, each of which is marked with a letter or a blank. The distribution of the tiles is shown above, with each letter paired with the number of tiles marked with that letter. Notice that there are two blank tiles.
All of the consonant tiles are placed in a box. It is desired to place just enough of the vowel tiles so that the probability of drawing a vowel is 
Note: for purposes of this question, "Y" is a consonant.
There are nine "A" tiles, twelve "E" tiles, nine "I" tiles, eight "O" tiles, and four "U" tiles. This is a total of
There are also two blanks, so the number of tiles marked with consonants is
For the probability of drawing a vowel tile to be 
If we let 
Example Question #14 : How To Find The Answer From A Table
In a class of 
| Number of Siblings | Number of Students with the Specific Number of Siblings |
| 0 | 5 |
| 1 | 9 |
| 2 | 4 |
| 3 | 2 |
What is the mode for the number of siblings for this class?
Recall that the mode is the number that appears most often in a data set.
For this class, 
Example Question #22 : Data Analysis
The following are the scores from a math test in a given classroom. What is the median score?
To find the median you need to arrange the values in numerical order.
Starting with this:
Rearrange to look like this:
If there are an odd number of values, the median is the middle value. In this case there are 8 values so the median is the average (or mean) of the two middle values.
Example Question #21 : Data Analysis And Probability
The median of nine consecutive integers is 604. What is the greatest integer?
The median of nine (an odd number) integers is the one in the middle when the numbers are arranged in ascending order; in this case, it is the fifth lowest. Since the nine integers are consecutive, the greatest integer is four more than the median, or 
Example Question #1 : How To Find Median
The median of 
We know that the numbers should be arranged in ascending order to find the median. When the number of values is odd, the median is the single middle value. In this question we have 
Example Question #22 : Data Analysis And Probability
What is the median of the frequency distribution shown in the table:
There are 
So:
Example Question #4 : How To Find Median
Scores from a math test in a given classroom are as follows:
What is the median score?
In order to find the median the data must first be ordered. So we have:
In this problem the number of values is even. We know that when the number of values is even, the median is the mean of the two middle values. So we get:
Example Question #5 : How To Find Median
Heights of a group of students in a high school are as follows (heights are given in 
Find the median height.
In order to find the median the data must first be ordered. So we have:
When the number of values is odd, the median is the single middle value. In this problem we have nine values. So the median is th 
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