Indicate in each case whether you think the histogram should look like approximately a bell-shaped (normal) curve, and give a brief explanation why (one sentence is probably sufficient).

a. The price of one gallon of gasoline at a particular gas station is recorded every day of the year, and the 365 values are plotted in a histogram.
b. Two hundred students in a statistics class each flip a coin 40 times and record the number of heads. The numbers of heads are plotted in a histogram.
c. Two hundred students in a statistics each roll a die 60 times and record the sum of the numbers they got on the 60 rolls. They make a histogram of the 200 sums.
d. One thousand randomly chosen people report their annual salaries, and these salaries are plotted in a histogram.
e.The day before an election, fifty different polling organizations each sample 2000 people and record the percentage who say they will vote for the Democratic candidate. The 50 values are plotted in a histogram.
f. The fifty polling organizations also record the average age of the 2000 people in their sample, and the 50 averages are plotted in a histogram.
g. One hundred batteries are tested, and the lifetimes of the batteries are plotted in a histogram.

in simple words if a set of data can be normally distributed that is if sample values can have skewness around the mean, median or mode, then the set of data can be plotted over a bell-shaped curve sp

a) The price may or may not be skewed around its mean. It may be constant, increasig of decreasing.

b) The outcome of a coin flip is can be a normal distribution. The outcomes will have skewness around a maximum value.

c) The 200 sums die roll can be a normal distribution. More than one student can get the same value of sum. The sums will be skewed around a maximum value

d) salaries of individuals will be spread out over a curve that will be represented by normal distribution

e) The percentage of people voting for Democratic candidate recorded by each polling organization plotted on a curve will be a normal distribution

f) Age is normally distributed in a population

g) Battery life is normally distributed.