The frequency distribution of a research data which is symmetrical in shape similar to a normal distribution but center peak is much higher, is
Leptokurtic
Two different properties of a distribution have to be kept apart here: skewness, which concerns symmetry, and kurtosis, which concerns peakedness.
Skewness measures whether a distribution leans to one side. A skewed distribution is asymmetrical, with one tail longer than the other. The question states that the distribution is symmetrical, so skewed is ruled out immediately - this is the option that tests whether the candidate has read the word symmetrical.
Kurtosis measures how sharply peaked a distribution is relative to the normal curve, and how heavy its tails are. There are three categories.
A mesokurtic distribution has the same degree of peakedness as the normal distribution. The normal curve is itself the reference case, so mesokurtic means neither more nor less peaked than normal.
A leptokurtic distribution is more sharply peaked than the normal curve, with a higher central peak and heavier tails, which means values cluster tightly around the mean while extreme values are more frequent than in a normal distribution. This matches the description exactly: symmetrical, normal in general shape, but with a much higher centre.
A platykurtic distribution is flatter than the normal curve, with a lower, broader peak and thinner tails, so values are spread more evenly.
A helpful way to keep the two extremes apart is the Greek roots: lepto means slender or thin, suggesting a narrow tall peak, while platy means broad or flat, suggesting a wide low one.
Since the distribution described is symmetrical, kurtosis rather than skewness applies, and since the peak is much higher than normal it falls in the leptokurtic category.
Hence the distribution is leptokurtic.
Similar Questions
Given below are two statements:
Statement I: Like correlation, statistical regression examines the association or relationship between variables.
Statement II: The primary purpose of regression is prediction.
In the light of the above statements, choose the most appropriate answer from the options given below:
Given below are two statements :
Statement I : t-tests are appropriate only when the dependent variables being measured are continuous.
Statement II : Chi-square statistic allows us to test hypotheses using both continuous and ordinal data.
In the light of the above statements, choose the most appropriate answer from the options given below :
Which of the following statistical technique will be appropriate for data analysis when the observations are available in the form of frequencies?
If data has been recorded using technical media, which among the following is a necessary step on the way to its interpretation?
Among the following, identify the continuous type of data:
The advantages of secondary analysis in research are:
(a) It is inexpensive.
(b) There is no need to construct a measuring instrument.
(c) Data archives are a valuable source.
(d) Useful opportunity is provided to produce valuable knowledge.
(e) Provides less time to understand data.
Given below are two statements:
Statement I: The p-value of a test depends on sample size.
Statement II: An important difference may not be statistically significant if the sample size is too small.
In the light of the above statements, choose the correct answer from the options given below:If you are to calculate Spearman's rho, what kind of data you would enter?
Given below are two statements - one is labelled as Assertion (A) and the other is labelled as Reason (R) :
Assertion (A) : A researcher can draw a definitive conclusion even if there is a little evidence to support it.
Reasons (R) : Statistical test of significances helps a researcher in drawing logically correct inferences from the data.
In the light of the above statements choose the correct option :
Given below are two statements:
Statement I: Content analysis cannot be applied to visual materials.
Statement II: It is difficult to ascertain answers to 'why?' questions through content analysis.
In the light of the above statements, choose the correct answer from the options given below:
Important Questions from Data Analysis
Match List-I with List-II :
List-I
List-II
(a)
The most commonly used method of computing correlation between two variables
(i)
Intra-class correlation
(b)
An ANOVA technique used for estimating reliability of a measure
(ii)
Inter-class correlation
(c)
A technique used for estimating reliability of multiple-trials tests
(iii)
Inter-tester reliability
(d)
A form of reliability that pertains to the testers
(iv)
Coefficient alpha
Select the correct option :
Given below are two statements
Statement I: Paired t-test is used to compare two related means (μ 1 and µ 2)
Statement II: The t-test is a method used for inferential statistics
In light of the above statements, choose the most appropriate answer from the options given below
Match the items of List I with the items of List II and choose the correct answer from the code given below.
List – I
List – II
a
X̅ chart
i
Number of defects
b
P chart
ii
Variations between samples
c
C chart
iii
Variations within samples
d
R chart
iv
Proportion of defectives Code
If mean, median, mode and standard deviation are known for a given data set, the Pearson's first skewness coefficient is equal to
Following are commands in SPSS-17 version for starting ANCOVA
(a) Analyze
(b) Multivariate
(c) Univariate
(d) General linear model
(e) Repeated measures
Select the correct sequence of commands from the options given below :
