Range Midrange Percentiles When you take the Scholastic

When you take the Scholastic Aptitude Test (SAT), or any other standardized test taken

If approximately n percent of the items in a distribution are less than the

For example, if you scored at the eighty-third percentile on the SAT, it means

Since the percentile score gives the position of an item within the data set,

The following are the numbers of dinner customers served by a restaurant on 40

The range is of a set of data is found by subtracting the lowest

46 60 66 70 51 61 66 70 52 62 66 71 55 62

The mid-range is of a set of data is found by averaging the lowest

46 51 52 55 56 56 58 60 61 62 62 63 63 64

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Range, Midrange, Percentiles

When you take the Scholastic Aptitude Test (SAT), or any other standardized test taken by large numbers of students, your raw score usually is converted to a percentile score, which is defined as follows.

If approximately n percent of the items in a distribution are less than the number x, then x is the nth percentile of the distribution, denoted P n.

For example, if you scored at the eighty-third percentile on the SAT, it means that you outscored approximately 83% of all those who took the test.

Since the percentile score gives the position of an item within the data set, it is another “measure of position. ”

The following are the numbers of dinner customers served by a restaurant on 40 consecutive days. 46 60 66 70 51 61 66 70 52 62 66 71 55 62 67 71 56 63 67 72 56 63 67 75 58 64 68 79 59 64 69 83 59 65 69 88

The range is of a set of data is found by subtracting the lowest value in the set from the greatest value in the set.

46 60 66 70 51 61 66 70 52 62 66 71 55 62 67 71 What is the range? 56 63 67 72 56 63 67 75 58 64 68 79 59 64 69 83 59 65 69 88

46 60 66 70 51 61 66 70 52 62 66 71 55 62 67 71 What is the range? The range is 42. 56 63 67 72 56 63 67 75 58 64 68 79 59 64 69 83 59 65 69 88

The mid-range is of a set of data is found by averaging the lowest value in the set and the greatest value in the set.

46 60 66 70 51 61 66 70 52 62 66 71 55 62 67 71 56 63 67 72 What is the mid-range? 56 63 67 75 58 64 68 79 59 64 69 83 59 65 69 88

What is the mid-range?

46 51 52 55 56 56 58 60 61 62 62 63 63 64 66 66 66 67 67 67 68 70 70 71 71 72 75 79 Find the sixty-fifth percentile. 59 64 68 79 59 64 69 83 59 65 69 88

What is 65% of 40?

46 51 52 55 56 56 58 60 61 62 62 63 63 64 66 66 66 67 67 67 68 70 70 71 71 72 75 79 Find the sixty-fifth percentile. 59 64 68 79 59 64 69 83 59 65 69 88

46 51 52 55 56 56 58 60 61 62 62 63 63 64 66 66 66 67 67 67 68 70 70 71 71 72 75 79 Find the sixty-fifth percentile. 59 64 68 79 59 64 69 83 10 59 65 69 88

46 51 52 55 56 56 58 60 61 62 62 63 63 64 66 66 66 67 67 67 68 70 70 71 71 72 75 79 Find the sixty-fifth percentile. 59 64 68 79 59 64 69 83 59 20 65 69 88

46 51 52 55 56 56 58 60 61 62 62 63 63 64 21 66 66 67 67 67 68 66 70 70 71 71 72 75 79 Find the sixty-fifth percentile. 59 64 68 79 59 64 69 83 59 65 69 88

46 51 52 55 56 56 58 60 61 62 62 63 63 64 22 66 67 67 67 68 66 66 70 70 71 71 72 75 79 Find the sixty-fifth percentile. 59 64 68 79 59 64 69 83 59 65 69 88

46 51 52 55 56 56 58 60 61 62 62 63 63 64 23 67 67 67 68 66 66 66 70 70 71 71 72 75 79 Find the sixty-fifth percentile. 59 64 68 79 59 64 69 83 59 65 69 88

46 51 52 55 56 56 58 60 61 62 62 63 63 64 24 67 67 68 66 66 66 67 70 70 71 71 72 75 79 Find the sixty-fifth percentile. 59 64 68 79 59 64 69 83 59 65 69 88

46 51 52 55 56 56 58 60 61 62 62 63 63 64 25 67 68 66 66 66 67 67 70 70 71 71 72 75 79 Find the sixty-fifth percentile. 59 64 68 79 59 64 69 83 59 65 69 88

46 51 52 55 56 56 58 60 61 62 62 63 63 64 26 68 66 66 66 67 67 67 70 70 71 71 72 75 79 Find the sixty-fifth percentile. 59 64 68 79 59 64 69 83 59 65 69 88

46 51 52 55 56 56 58 60 61 62 62 63 63 64 26 68 66 66 66 67 67 67 70 70 71 71 72 75 79 Find the sixty-fifth percentile. 68 is the sixty-fifth percentile. 59 64 68 79 59 64 69 83 59 65 69 88

46 60 66 70 51 61 66 70 52 62 66 71 55 62 67 71 What is the range? 56 63 67 72 56 63 67 75 58 64 68 79 59 64 69 83 59 65 69 88

46 51 52 55 56 56 58 60 61 62 62 63 63 64 26 68 66 66 66 67 67 67 70 70 71 71 72 75 79 Find the sixty-fifth percentile. 59 64 68 79 59 64 69 83 59 65 69 88