z-scoreFor z-score calculation, please enter numerical data separated with comma (or space, tab, semicolon, or newline). For example: 884.7 954.3 177.0 497.8 846.4 742.8 429.5 -229.9 -105.4 153.5 -223.4 997.2 595.6
Z-scoreZ-score (or standard score) is the transform of items x via the formula:
μ is the mean of the population;
σ is the standard deviation of the population.
The absolute value of z represents the distance between the raw score and the population mean in units of the standard deviation. z is negative when the raw score is below the mean, positive when above.
How to enter data as a frequency table?Simple. Write data elements (separated by spaces or commas, etc.), then write f: and further write the frequency of each data item. Each element must have a defined frequency that counts numbers before and after symbol f: must be equal. For example:
1.1 2.5 3.99
f: 5 10 15
How to enter grouped data?Grouped data are formed by aggregating individual data into groups so that a frequency distribution of these groups serves as a convenient means of summarizing or analyzing the data.
10-20 20-30 30-40
f: 5 10 15
How to enter data as a cumulative frequency table?Similar to a frequency table, but instead, f: write cf: in the second line. For example:
10 20 30 40 50 60 70 80
cf: 5 13 20 32 60 80 90 100
The cumulative frequency is calculated by adding each frequency from a frequency distribution table to the sum of its predecessors. The last value will always equal the total for all observations since the calculator will have already added all frequencies to the previous total.
Practice problems from statistics:
- A batsman
A batsman scored the following number of runs in seven innings 35,30,45,65,39,20,40. Find the mean, median, and range.
- Median and modus
Radka made 50 throws with a dice. The table saw fit individual dice's wall frequency: Wall Number: 1 2 3 4 5 6 frequency: 8 7 5 11 6 13 Calculate the modus and median of the wall numbers that Radka fell.
- Increase the mean
To which number should the number 4 be changed between the numbers 4,5,7, 1,0,9,7,8, -3,5 to increase these numbers' arithmetic mean by 1.25?
- The size 2
The size of pants sold during one business day in a department store is 32, 38, 34, 42, 36, 34, 40, 44, 32, and 34. Find the average size of the pants sold.
- The data
The data set represents the number of cars in a town given a speeding ticket each day for ten days. 2 4 5 5 7 7 8 8 8 12 What is the IQR?
- Harmonic HM example
Find the harmonic mean of 4 and 8.
- 75th percentile (quartille Q3)
Find 75th percentile for 30,42,42,46,46,46,50,50,54
- Employees 70614
The company has 18 employees aged 26-52. The age groups of the employees are: 3 employees aged 52 years, 2 aged 32 years, 1 ... 26 years old, 5 ... 36 years old, 4 ... 45 years old, and 3 ... 50 years old. Determine the median.
- A Gallup
A Gallup poll investigated whether adults in Mumbai preferred staying at home or going out as their favorite way of spending time in the evening. Out of the 500 adults, the majority of adults (70%) indicated that staying at home was their favorite evening
- 45 percentile
Given the following data 11 15 24 33 10 35 23 25 40 What is P45?
- Z-score 3
A random variable X has a mean of 4 and a standard deviation of 2. What is the corresponding z-score for x = 7?
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