1) A survey was given to a group of 12 seniors in high school about how much mon

Question

1) A survey was given to a group of 12 seniors in high school about how much money they spent last weekend. The results are below: $45 $30 $15 $105 $35 $50 $15 $40 $45 $75 $60 $50 The standard deviation of this data set $25 $23.9 None of the choices are correct. $47.1

2) A survey was given to a group of 12 seniors in high school about how much money they spent last weekend. The results are below: $45 $30 $15 $105 $35 $50 $15 $40 $45 $75 $60 $50 The 1st quartile of the data set is $67.50 $15 $32.50 $35

3) A survey was given to a group of 12 seniors in high school about how much money they spent last weekend. The results are below: $45 $30 $15 $105 $35 $50 $15 $40 $45 $75 $60 $50 The mean of the data set is: None of the choices are correct. is the middle number which is 45.

4) Use the following class set of grades to answer this question: 95 87 63 88 82 91 99 71 43 55 82 64 75 75 84 93 87 76 55 91 If we used classes of size ten, the count of each class would be: Class Count 40 to 50 1 50 to 60 2 60 to 70 2 70 to 80 4 80 to 90 5 90 to 100 6 Class Count 40 to 44 1 45 to 49 0 50 to 54 1 55 to 59 2 60 to 64 2 65 to 69 0 70 to 74 1 75 to 79 3 80 to 84 3 85 to 89 2 90 to 94 3 95 to 99 2 Class Count 40 to 45 1 45 to 50 0 50 to 55 1 55 to 60 2 60 to 65 2 65 to 70 0 70 to 75 1 75 to 80 3 80 to 85 3 85 to 90 2 90 to 95 3 95 to 100 2 Class Count 40 to 49 1 50 to 59 2 60 to 69 2 70 to 79 4 80 to 89 6 90 to 99 5

5) Use the following class set of grades to answer this question: 95 87 63 88 82 91 99 71 43 55 82 64 75 75 84 93 87 76 55 91 What is the first step to drawing a histogram for this data set? Create a frequency chart. Find the measures of central tendency of the data set. Change the units of the variable. Divide the range of data into classes of equal width.

Explanation / Answer

1)

standard deviation = summation of (x - mean)^2/n

= 25

2)

1st quartile

arrange the data from smallest to largest

1 st quartile = ( 30+ 35)/2 = 32.5

3)

mean = sum of all number/ total number

= 47.08

4)

If we used classes of size ten, the count of each class would be:

Class Count 40 to 50 1 50 to 60 2 60 to 70 2 70 to 80 4 80 to 90 5 90 to 100 6

5)

The first step for drawing the histogram

Draw and label your class(X axis) and count (y axis)

Draw a bar extending from the lower value of each interval to the lower value of the next interval. The height of each bar should be equal to the frequency of its corresponding interval.

Frequency chart

class Frequency

40 - 45 1

45 -50 0

50 -55 1

55-60 2

60-65 2

65-70 0

70 -75 1

75-80 3

80-85 3

85-90 2

90-95 3

95-100 2

measures of central tendency are as

mean = 77.8

median = 82

mode = 55

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