See image for question. Please show workings.
1 answer:
Answer:
- See below and attached
Step-by-step explanation:
- <em>Refer to the graph attached</em>
1. The mean is calculated using below table
<u>Marks Frequencies Midpoint Product</u>
10 to 14 18 12 216
15 to 19 9 17 153
20 to 24 11 22 242
25 to 29 25 27 675
30 to 34 14 32 448
<u>35 to 39 3 37 111 </u>
Sum 80 1845
<u>The mean is:</u>
- 1845/80 ≈ 23
2. The mode is the midpoint of the tallest bar.
<u>The mode is </u>
- (25 + 29)/2 = 27
3. The median is the middle of the data set. The number of frequencies is 80, the middle frequency is number 40, which is within the 25 to 29 bar.
<u>Formula to calculate median:</u>
- L + ( (n/2 – F) / f ) * w
where
- L: The lower limit of the median group = 25
- n: The total number of observations = 80
- F: The cumulative frequency up to the median group = 18 + 9 + 11 = 38
- f: The frequency of the median group = 25
- w: The width of the median group = 29 - 25 = 4
<u>Substitute values and calculate:</u>
- 25 + ((80/2 - 38)/25) *4 = 25.32
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