We read your photo as:
Use the histogram to complete the table below
ScanSolve AI Answer
Step-by-step solution
8 stepsPart a· 4 steps
Use it to fill the table below
Determine the class intervals and class widths from the histogram.
The x-axis shows the class boundaries.
The class width is the difference between the upper and lower class boundaries.Read the frequency density for each class from the y-axis.
Frequency density is given by the height of each bar.
Calculate the frequency for each class.
Frequency = Frequency density Class width.
Calculate the midpoint for each class.
Midpoint = (Lower class boundary + Upper class boundary) / 2.
Classes Midpoint () Frequency Density Class Width Frequency () 19.5-29.5 24.5 0.4 10 29.5-34.5 32.0 1.2 5 34.5-54.5 44.5 1.1 20 54.5-74.5 64.5 1.3 20 74.5-84.5 79.5 0.6 10 84.5-94.5 89.5 0.2 10 The completed table is:
Part b· 3 steps
Calculate the median
Calculate the total frequency () and the median position.
Total frequency .
Median position = value.Determine the median class.
We need to find the class where the value lies.
Cumulative frequencies:
19.5-29.5: 4
29.5-34.5:
34.5-54.5:
54.5-74.5:
The value falls into the class . This is the median class.Apply the median formula for grouped data.
The median formula is:
Where:
= Lower class boundary of the median class = 54.5
= Total frequency = 66
= Cumulative frequency of the class before the median class = 32
= Frequency of the median class = 26
= Class width of the median class =Substitute the values into the formula:
Rounding to two decimal places:
The median is .
Part c· 1 step
Calculate the mean
Calculate the sum of (frequency midpoint) for all classes.
Classes Midpoint () Frequency () 19.5-29.5 24.5 4 29.5-34.5 32.0 6 34.5-54.5 44.5 22 54.5-74.5 64.5 26
Still stuck on this one?
Ask a follow-up, and the answer starts from this question.