Statistics and Averages in Cricket

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Match the following ranges of number of mangoes with the mean method used to find it:

50 - 64 = Direct method 15 - 25 = Assumed mean method 110 - 135 = Step deviation method 115 = Short-cut method

Match the following ranges of daily expenditure with the method used to find the mean daily expenditure on food:

100 - 350 = Assumed mean method 100 - 150 = Direct method 150 - 200 = Step deviation method 200 - 250 = Short-cut method

Match the following ranges of concentration of SO2 (in ppm) with the method used to find the mean concentration of SO2 in the air:

0.00 - 0.24 = Direct method 0.00 - 0.04 = Assumed mean method 0.04 - 0.08 = Step deviation method 0.08 - 0.12 = Short-cut method

Match the following ranges of number of days absent with the method used to find the mean number of days a student was absent:

0-40 = Direct method 0-6 = Assumed mean method 6 - 10 = Step deviation method 10 - 14 = Short-cut method Signup and view all the answers

Match the following ranges of literacy rate (in %) with the method used to find the mean literacy rate:

45 - 95 = Direct method 45 - 55 = Assumed mean method 55 - 65 = Step deviation method 65 - 75 = Short-cut method Signup and view all the answers

Match the following statistical measures with their corresponding calculation method:

Mean = Sum of all values divided by the number of values Median = Middle value of a data set when arranged in ascending order Mode = Most frequently occurring value in a data set Range = Difference between the highest and lowest values in a data set Signup and view all the answers

Match the following statistical terms with their respective definitions:

Frequency distribution = Organization of data into classes showing the number of observations in each class Grouped frequency table = Tabular arrangement of data into classes along with the corresponding frequencies Statistical measures = Methods used to summarize and analyze data Data set = Collection of values or observations Signup and view all the answers

Match the following statistical concepts with their applications:

Mean = Average score of a group of students in an exam Median = Middle value of temperatures recorded over a period of time Mode = Most common height range among students in a class Range = Difference in wickets taken by bowlers in a cricket match Signup and view all the answers

Match the following data collection tasks with their appropriate data analysis techniques:

Collecting exam marks = Calculating the mean and median scores Recording daily temperatures = Finding the median and range of temperature values Measuring student heights = Determining the mode and range of height distribution Gathering bowling statistics = Analyzing the mean and median number of wickets taken Signup and view all the answers

Match the following mathematical operations with their corresponding statistical interpretations:

Summation = Total value obtained by adding all data points together Subtraction = Difference between two numerical values or observations Multiplication = Repeating addition or combining equal groups Division = Splitting a quantity into equal parts or calculating averages Signup and view all the answers

What method was used to find the mean concentration of SO2 in the air?

Weighted mean (C) Signup and view all the answers

Which method was chosen to find the mean daily expenditure on food?

Arithmetic mean (B) Signup and view all the answers

What method did the class teacher use to find the mean number of days a student was absent?

Weighted mean (D) Signup and view all the answers

What does the value 152.89 represent in the context of the given text?

The average number of wickets taken by 45 bowlers in one-day cricket. (D) Signup and view all the answers

How was the mean literacy rate calculated for the 35 cities?

$\frac{Total\ literacy\ rate}{Number\ of\ cities}$ (C) Signup and view all the answers

What does the term 'ui' represent in the given context?

Number of wickets taken (A) Signup and view all the answers

What method was used to find the mean number of mangoes kept in a packing box?

$\frac{Total\ number\ of\ mangoes}{Number\ of\ boxes}$ (C) Signup and view all the answers

What is the purpose of forming a grouped frequency distribution table of daily maximum temperatures recorded for a period of 30 days?

To present the data in an organized manner for analysis. (B) Signup and view all the answers

What does 'di = xi – 200' represent in the context of the given text?

The difference between wickets taken and 200 (C) Signup and view all the answers

What does 'u = ui fi –106' indicate in the given context?

Calculation of average number of wickets taken by bowlers (A) Signup and view all the answers