Math / Data & Statistics

QuestionDisplay the following dataset in a histogram. Use five bins, beginning with 60 and going by intervals of 2. $\begin{array}{l} 70,61,60,64,70,65,65,66,60,61,68,68,67, \\ 65,64,62 \end{array}$
How many numbers in the dataset will be in the bin that goes from 62 to just under 64 ? (1 point) 0 1 3 16

Studdy Solution

STEP 1

1. The dataset is: $70, 61, 60, 64, 70, 65, 65, 66, 60, 61, 68, 68, 67, 65, 64, 62$ .
2. The histogram will have five bins starting at 60 with intervals of 2.
3. The bin from 62 to just under 64 includes numbers $\geq 62$ and $< 64$ .

STEP 2

1. Define the bins.
2. Count the numbers in each bin.
3. Identify the count for the bin from 62 to just under 64.

STEP 3

Define the bins based on the given intervals: - Bin 1: $60 \leq x < 62$ - Bin 2: $62 \leq x < 64$ - Bin 3: $64 \leq x < 66$ - Bin 4: $66 \leq x < 68$ - Bin 5: $68 \leq x < 70$

STEP 4

Count the numbers in each bin:
- Bin 1: $60, 60, 61, 61$ (4 numbers) - Bin 2: $62$ (1 number) - Bin 3: $64, 64, 65, 65, 65$ (5 numbers) - Bin 4: $66, 67$ (2 numbers) - Bin 5: $68, 68$ (2 numbers)

STEP 5

Identify the count for the bin from 62 to just under 64:
- Bin 2: $62$ (1 number)
The number of numbers in the dataset that will be in the bin from 62 to just under 64 is:
$\boxed{1}$

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