Question

make a histogram and a relative - frequency histogram for the data below:
number of free throws frequency
0 - 1 1
2 - 3 5
4 - 5 10
6 - 7 4

1. use the following histograms to answer each question

histogram a
histogram b
data values
data values
a) which distribution had collected more data? show how you know.
histogram a
b) which distribution has a larger range? show or explain how you know.
5 - 15, has the larger range since it shows the frequency.
c) which distribution is more likely to have a shape described as \skewed right?\
histogram b

Explanation:

Step1: Calculate total frequency for Histogram A

Sum up the frequencies: $1 + 1+3 + 4+6+5+7+6 = 33$

Step2: Calculate total frequency for Histogram B

Sum up the frequencies: $2+4+8+5+2+1+1+1 = 24$

Step3: Determine which has more data

Since $33>24$, Histogram A has more data.

Step4: Find range for Histogram A

Range = maximum - minimum. Maximum value is 50, minimum is 0, range = $50 - 0=50$

Step5: Find range for Histogram B

Maximum value is 50, minimum is 0, range = $50 - 0 = 50$. Both have the same range.

Step6: Identify skewed - right distribution

In Histogram B, the tail extends to the right (higher values have lower frequencies), so it is more likely to be skewed right.

Answer:

a) Histogram A, because the sum of its frequencies (33) is greater than the sum of frequencies of Histogram B (24).
b) Both have the same range of 50, as the maximum value is 50 and the minimum value is 0 for both.
c) Histogram B, as its tail extends to the right with lower frequencies at higher values.