Math / Data & Statistics

QuestionIn the distributions shown, state the mean and standard deviation for each. Hint: The vertical lines are 1 standard deviation apart.
Part: 0 / 2
Part 1 of 2 (a)
Mean = $\square$ Standard deviation $=$ $\square$

Studdy Solution

STEP 1

1. The distribution is normal.
2. The vertical lines on the x-axis represent increments of one standard deviation.
3. The mean is located at the center of the normal distribution curve.

STEP 2

1. Identify the mean from the distribution.
2. Determine the standard deviation from the distribution.

STEP 3

Identify the mean of the distribution. The mean is located at the center of the normal distribution curve. From the x-axis labels, the mean is:
$180.3$

STEP 4

Determine the standard deviation. The standard deviation is the distance between consecutive vertical lines. Calculate the difference between two consecutive x-axis labels:
$162.3 - 153.3 = 9.0$
Thus, the standard deviation is:
$9.0$
The mean is:
$\boxed{180.3}$
The standard deviation is:
$\boxed{9.0}$

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