Answer :
Answer:
Step-by-step explanation:
The mode of a
The mode of a dataset is the value that appears most frequently. Let's determine the mode for each of the given datasets:
(a) \( 19, 25, 27, 32, 20, 15, 24, 19, 19 \)
(b) \( 13, 16, 12, 14, 19, 12, 14, 13, 14, 13 \)
(c) \( 16, 25, 36, 36, 12, 14 \)
(d) \( 38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47 \)
Let's calculate the mode for each:
(a)
- 19 appears 3 times
- All other numbers appear 1 time
- Mode: 19
(b)
- 13 appears 3 times
- 14 appears 3 times
- 12 appears 2 times
- All other numbers appear 1 time
- Mode: 13 and 14 (bimodal)
(c)
- 36 appears 2 times
- All other numbers appear 1 time
- Mode: 36
(d)
- 43 appears 3 times
- 38 appears 3 times
- All other numbers appear 1 time
- Mode: 43 and 38 (bimodal)
So, the modes are:
- (a) 19
- (b) 13 and 14
- (c) 36
- (d) 43 and 38
Answer:
To find the mode of each dataset, we need to determine which number appears most frequently.
Step-by-step explanation:
(a) Data set: 19, 25, 27, 32, 20, 15, 24, 19, 19
Count of each number
:19 appears 3 times
25 appears 1 time
27 appears 1 time
32 appears 1 time
20 appears 1 time
15 appears 1 time
24 appears 1 time
The number 19 appears most frequently, so the mode is 19.
(b) Data set: 13, 16, 12, 14, 19, 12, 14, 13, 14, 13
Count of each number:
13 appears 3 times
16 appears 1 time
12 appears 2 times
14 appears 3 times
19 appears 1 time
Both 13 and 14 appear 3 times, which is the highest frequency. Therefore, the mode is 13 and 14.
(c)Data set: 16, 25, 36, 36, 12, 14
Count of each number:
16 appears 1 time
25 appears 1 time
36 appears 2 times
12 appears 1 time
14 appears 1 time
The number 36 appears most frequently (2 times), so the mode is 36.
(d) Data set: 38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47
Count of each number:
38 appears 3 times
42 appears 1 time
35 appears 1 time
37 appears 1 time
45 appears 1 time
50 appears 1 time
32 appears 1 time
43 appears 3 times
40 appears 1 time
36 appears 1 time
47 appears 1 time
Both 38 and 43 appear 3 times, which is the highest frequency. Therefore, the mode is 38 and 43.
Summary of modes:
(a) Mode: 19
(b) Mode: 13 and 14
(c) Mode: 36
(d) Mode: 38 and 43