The cumulative frequency graph (ogive) drawn below shows the total number of food items ordered from a menu over a period of 1 hour - NSC Mathematics - Question 1 - 2018 - Paper 2
Question 1
The cumulative frequency graph (ogive) drawn below shows the total number of food items ordered from a menu over a period of 1 hour.
CUMULATIVE FREQUENCY GRAPH (OGI... show full transcript
Worked Solution & Example Answer:The cumulative frequency graph (ogive) drawn below shows the total number of food items ordered from a menu over a period of 1 hour - NSC Mathematics - Question 1 - 2018 - Paper 2
Step 1
Write down the total number of food items ordered from the menu during this hour.
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The total number of food items ordered from the menu during this hour is 140 items.
Step 2
Write down the modal class of the data.
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The modal class of the data is 20 < x ≤ 30 minutes.
Step 3
How long did it take to order the first 30 food items?
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
It took 20 minutes to order the first 30 food items.
Step 4
How many food items were ordered in the last 15 minutes?
98%
120 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
In the last 15 minutes, 14 food items were ordered.
Step 5
Determine the 75th percentile for the data.
97%
117 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The 75th percentile is at 37 minutes.
Step 6
Calculate the interquartile range of the data.
97%
121 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The lower quartile (Q1) is at 21.5 items, and the upper quartile (Q3) is at 37 items. Therefore, the interquartile range (IQR) is 37 - 21.5 = 15.5 items.
