Math 112 Elementary Statistics Name( print) ______

Quiz 1 Spring 2009, February 4th Total points 36 Good Luck!

Directions:

  • Use pencil.
  • Use a ruler, if you don’t have one use ID card.
  • Write neatly and to the point.
  • Must show all logical work, step by step for full credit!
  1. Define each word: (1 points each)
  1. Parameter:____See book ______
  1. Statistic: _____See book______

3. Sample:______See book______

4. Population:______See book______

5. Simple Random Sample: ______See book______

  1. Give two specific example of each: ( 1 point each, 6 points total)
  1. Quantitative discrete data: ( answers will differ)
  2. ______number of animals on a farm___
  1. _____number of soda cans in a box______
  1. Qualitative or categorical data:
  2. _____Colors_____
  1. _____Social security number_
  1. Quantitative continuous data:
  2. ______My weight__
  1. ______My age_
  1. Given the data from the table below construct the following and interpret.

Math 112 class( spring ’07) Students age data

21 / 21 / 22 / 23 / 23 / 24
24 / 24 / 24 / 24 / 24 / 24
25 / 26 / 26 / 26 / 26 / 27
27 / 29 / 30 / 32 / 32 / 32
33 / 34 / 40 / 47 / 48 / 49
  1. Fill in the table below using Student’s Age data from above: ( 1 point each column)

Class / Boundary / Midpoint / Frequency / Relative Frequency ( rounded to 2 decimal places) / Cumulative Relative
Frequency (%)
21-25 / 20.5 / 23 / 15 / 42.86% / 42.86%
26-30 / 25.5 / 28 / 10 / 28.57% / 71.43%
31-35 / 30.5 / 33 / 6 / 17.14% / 88.57%
36-40 / 35.5 / 38 / 1 / 2.86% / 91.43%
41-45 / 40.5 / 43 / 0 / 0 / 91.43%
46-50 / 45.5 and 50.5 / 48 / 3 / 6.57% / ~100 %
Sum / 35
  1. Construct a neat Relative Frequency Histogram (on the vertical axis %) labeling horizontal and vertical axes, using the table above. ( 3 points)

I did this in class!!

Interpret (1 points each) :

  1. ( skewed left or right or symmetric) ___Skewed right______
  2. Majority of ages are between what class? Between 21-25 or if you think of majority as more then half then majority is between 21-30
  1. Given the data from the table above (Age), identify and interpret the 5-number summary. ( 1 point each)
  1. __Minimum Age is 21___
  1. _Q1=25%, Q1=24, This means 25% of ages are less then 24 or 75% of ages are greater then 24._
  1. _Q2=50%, Q3=26, This means 50% of ages are less then 26 or 50% of ages are greater then 26.
  1. _Q3=75%, Q3=32, This means 75% of ages are less then 32 or 25% of ages are greater then 32.
  1. __Maximum age is 49_
  1. Find the z-score (round to two decimal places). Human body temperature has a mean of 98.2 F and a standard deviation of 0.62F. Convert the given temperatures to z-scores. ( 4 points total)
  2. 98.7F
  3. 99.8F

i. ii.

Which of the above temperatures is usual or unusual and why?

ii. is unusual because it is a z-value greater then 2 or you can say 99.8 is more then two standard deviation from the mean i.e.

  1. Is usual, z is within two sd.
  1. Show all work step by step. Find the mean, mode, variance and standard deviation of the following sample data. ( 5 points)

Heights (in) of men are: 71, 66, 72, 69, 68, 69

Mean: _

Mode:_____69___

Variance:__

Standard Deviation:___

Extra credit (0.5 points each, 3 points total)

Give a specific example of the fallowing:

  1. Nominal data______
  1. Ordinal data______
  1. Interval data______
  1. Ratio level data______

What measure of center is most sensitive to extreme values ______

What is the range rule of thumb? ______

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