UNIT 2 HOMEWORK
Math 102 & Core 143
Note: All data below is ficticious.
1. Decide whether the histogram for each of the following is symmetric, left-skewed, or right-
skewed.
a) Age at death from natural causes.
b) Age at death from murder.
c) Age at death from any cause.
2. Sketch the histogram for the following data concerning the number of household with the
given number of cars:
Number of cars Number of households
0 120
1350
2500
3210
420
3. Consider the number of cars each family in Syracuse owns. Suppose the distribution is
cars 0 1 2-3 4-7 8+
families (in 10,000s) 4 5 8 1 0
a) In the histogram of this data, if the bar over the interval 4–7 cars is 1
4inch tall, how tall
should the other bars be?
b) The average of the distribution above is about 2. Is the SD closest to 0.3, 1.3 or 2.3? Briefly
explain.
4. Which is higher for each, the median or the average?
a) Salary of all employed people
b) Age at which people began drinking illegally
5. Find the average, median, and standard deviation for the following data sets:
a) 1,2,3,4,5
b) 1,3,5,7,9,11
6. The average Math SAT score is 450 with a standard deviation of 100 points. Assume that
the histogram for Math SAT scores is symmetric and concentrated about 450. Estimate the
percent of students who score higher than 650 of the Math SAT.