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No. The percentiles start at the lowest value. When the 1000 values are ordered, from smallest to largest, the 29th percentile will be the 290th value while the 30th percentile will be the 300th value.

Q: Is the 29th percentile greater than the 30th percentile in a data set consisting of 1000 values that are all different?

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That a certain value is greater than most of the values possible.

If a data set consists of 1000 different values can the mean and the median be the same

The value of any element in the third quartile will be greater than the value of any element in the first quartile. But both quartiles will have exactly the same number of elements in them: 250.

You can accept H0 because the values are significantly different

A standard deviation in statistics is the amount at which a large number of given values in a set might deviate from the average. A percentile deviation represents this deviation as a percentage of the range.

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That a certain value is greater than most of the values possible.

You can use the percentile function with values that are multiples of .10 in the function. Say your values were in the cells A2 to A50, you could use these functions for some of the different deciles: =PERCENTILE(A2:A50,0.1) =PERCENTILE(A2:A50,0.2) =PERCENTILE(A2:A50,0.3) =PERCENTILE(A2:A50,0.4)

You use the Percentile function. You specify the range of values and then the percentile in a decimal form. Say your values were in the cell range from B2 to D50, then the formula would be:=PERCENTILE(B2:D50,0.75)You use the Percentile function. You specify the range of values and then the percentile in a decimal form. Say your values were in the cell range from B2 to D50, then the formula would be:=PERCENTILE(B2:D50,0.75)You use the Percentile function. You specify the range of values and then the percentile in a decimal form. Say your values were in the cell range from B2 to D50, then the formula would be:=PERCENTILE(B2:D50,0.75)You use the Percentile function. You specify the range of values and then the percentile in a decimal form. Say your values were in the cell range from B2 to D50, then the formula would be:=PERCENTILE(B2:D50,0.75)You use the Percentile function. You specify the range of values and then the percentile in a decimal form. Say your values were in the cell range from B2 to D50, then the formula would be:=PERCENTILE(B2:D50,0.75)You use the Percentile function. You specify the range of values and then the percentile in a decimal form. Say your values were in the cell range from B2 to D50, then the formula would be:=PERCENTILE(B2:D50,0.75)You use the Percentile function. You specify the range of values and then the percentile in a decimal form. Say your values were in the cell range from B2 to D50, then the formula would be:=PERCENTILE(B2:D50,0.75)You use the Percentile function. You specify the range of values and then the percentile in a decimal form. Say your values were in the cell range from B2 to D50, then the formula would be:=PERCENTILE(B2:D50,0.75)You use the Percentile function. You specify the range of values and then the percentile in a decimal form. Say your values were in the cell range from B2 to D50, then the formula would be:=PERCENTILE(B2:D50,0.75)You use the Percentile function. You specify the range of values and then the percentile in a decimal form. Say your values were in the cell range from B2 to D50, then the formula would be:=PERCENTILE(B2:D50,0.75)You use the Percentile function. You specify the range of values and then the percentile in a decimal form. Say your values were in the cell range from B2 to D50, then the formula would be:=PERCENTILE(B2:D50,0.75)

No. The range is the maximum value less the minimum value. If all the values are different, the maximum must be different from the minimum. Consequently, the max minus min must be greater than zero.

If a data set consists of 1000 different values can the mean and the median be the same

Yes.

The value of any element in the third quartile will be greater than the value of any element in the first quartile. But both quartiles will have exactly the same number of elements in them: 250.

No, they are different values.

35% of values lie below the 35th percentile. The median (middle value) is the 50th percentile, 50% lie below it and 50% above.

You can accept H0 because the values are significantly different

Numeric

Because they are both measures of the same characteristic - the central tendency.