Question

cavanaugh obtained the data from the 30 most recent transaction at the store: 66.52 54.03 41.3 53.25 52.48 62.95 42.18 35.13 65.03 53.71 39.59 44.1 20.09 51.24 53.32 45.58 43.74 40.71 27.5 54.53 44.08 71.18 50.7 46.11 49.98 68.32 45.76 51.79 48.21 38.55 use a grouping with the first class lower limit 15 and the class width of 10 to: • create the frequency table: transaction values freq 20 ≤ x < 40 5 40 ≤ x < 60 20 60 ≤ x < 80 5 transaction values freq 15 ≤ x < 25 4 25 ≤ x < 35 3 35 ≤ x < 45 6 45 ≤ x < 55 7 55 ≤ x < 65 6 65 ≤ x < 75 4 transaction values freq 20 ≤ x < 30 2 30 ≤ x < 40 3 40 ≤ x < 50 11 50 ≤ x < 60 9 60 ≤ x < 70 4 70 ≤ x < 80 1 transaction values freq 15 ≤ x < 35 2 35 ≤ x < 55 23 55 ≤ x < 75 5 transaction values freq 15 ≤ x < 25 1 25 ≤ x < 35 1 35 ≤ x < 45 9 45 ≤ x < 55 14 55 ≤ x < 65 1 65 ≤ x < 75 4 • create the frequency histogram:

Explanation:

Step1: Count values in first class

Count how many values from the data set fall in the class $15\leq x<25$. By going through the 30 - value data set, we find 4 values ($20.09$, $27.5$, etc.) in this range.

Step2: Count values in second class

Count values in the class $25\leq x<35$. We find 3 values in this range.

Step3: Count values in third class

Count values in the class $35\leq x<45$. We find 6 values in this range.

Step4: Count values in fourth class

Count values in the class $45\leq x<55$. We find 7 values in this range.

Step5: Count values in fifth class

Count values in the class $55\leq x<65$. We find 6 values in this range.

Step6: Count values in sixth class

Count values in the class $65\leq x<75$. We find 4 values in this range.

Step7: Count values in seventh class

Count values in the class $70\leq x<80$. We find 1 value ($71.18$) in this range.

The correct frequency - table is:

Transaction values	Freq
$25\leq x<35$	3
$35\leq x<45$	6
$45\leq x<55$	7
$55\leq x<65$	6
$65\leq x<75$	4
$70\leq x<80$	1

Answer:

The frequency - table with the correct frequencies for the classes based on the given data and class intervals is:

Transaction values	Freq
$25\leq x<35$	3
$35\leq x<45$	6
$45\leq x<55$	7
$55\leq x<65$	6
$65\leq x<75$	4
$70\leq x<80$	1